{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 17: Signal processing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Robert Johansson\n",
    "\n",
    "Source code listings for [Numerical Python - Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib](https://www.apress.com/us/book/9781484242452) (ISBN 978-1-484242-45-2)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib as mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy import fftpack"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# this also works:\n",
    "# from numpy import fft as fftpack"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy import signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import scipy.io.wavfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy import io"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectral analysis of simulated signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def signal_samples(t):\n",
    "    \"\"\" Simulated signal samples \"\"\"\n",
    "    return (2 * np.sin(1 * 2 * np.pi * t) +\n",
    "            3 * np.sin(22 * 2 * np.pi * t) +\n",
    "            2 * np.random.randn(*np.shape(t)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "B = 30.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f_s = 2 * B\n",
    "f_s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "delta_f = 0.01"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6000"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = int(f_s / delta_f)\n",
    "N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100.0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "T = N / f_s\n",
    "T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.01"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f_s / N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = np.linspace(0, T, N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_t = signal_samples(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(8, 3), sharey=True)\n",
    "axes[0].plot(t, f_t)\n",
    "axes[0].set_xlabel(\"time (s)\")\n",
    "axes[0].set_ylabel(\"signal\")\n",
    "axes[1].plot(t, f_t)\n",
    "axes[1].set_xlim(0, 5)\n",
    "axes[1].set_xlabel(\"time (s)\")\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-simulated-signal.pdf\")\n",
    "fig.savefig(\"ch17-simulated-signal.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "F = fftpack.fft(f_t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = fftpack.fftfreq(N, 1/f_s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "mask = np.where(f >= 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, 1, figsize=(8, 6))\n",
    "axes[0].plot(f[mask], np.log(abs(F[mask])), label=\"real\")\n",
    "axes[0].plot(B, 0, 'r*', markersize=10)\n",
    "axes[0].set_xlim(0, 30)\n",
    "axes[0].set_ylabel(\"$\\log(|F|)$\", fontsize=14)\n",
    "\n",
    "axes[1].plot(f[mask], abs(F[mask])/N, label=\"real\")\n",
    "axes[1].set_xlim(0, 2)\n",
    "axes[1].set_ylabel(\"$|F|/N$\", fontsize=14)\n",
    "\n",
    "axes[2].plot(f[mask], abs(F[mask])/N, label=\"real\")\n",
    "axes[2].set_xlim(19, 23)\n",
    "axes[2].set_xlabel(\"frequency (Hz)\", fontsize=14)\n",
    "axes[2].set_ylabel(\"$|F|/N$\", fontsize=14)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-simulated-signal-spectrum.pdf\")\n",
    "fig.savefig(\"ch17-simulated-signal-spectrum.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple example of filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "F_filtered = F * (abs(f) < 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f_t_filtered = fftpack.ifft(F_filtered)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 3))\n",
    "ax.plot(t, f_t, label='original', alpha=0.5)\n",
    "ax.plot(t, f_t_filtered.real, color=\"red\", lw=3, label='filtered')\n",
    "ax.set_xlim(0, 10)\n",
    "ax.set_xlabel(\"time (s)\")\n",
    "ax.set_ylabel(\"signal\")\n",
    "ax.legend()\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-inverse-fft.pdf\")\n",
    "fig.savefig(\"ch17-inverse-fft.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Windowing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
    "N = 100\n",
    "ax.plot(signal.blackman(N), label=\"Blackman\")\n",
    "ax.plot(signal.hann(N), label=\"Hann\")\n",
    "ax.plot(signal.hamming(N), label=\"Hamming\")\n",
    "ax.plot(signal.gaussian(N, N/5), label=\"Gaussian (std=N/5)\")\n",
    "ax.plot(signal.kaiser(N, 7), label=\"Kaiser (beta=7)\")\n",
    "ax.set_xlabel(\"n\")\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-window-functions.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = pd.read_csv('temperature_outdoor_2014.tsv', delimiter=\"\\t\", names=[\"time\", \"temperature\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df.time = pd.to_datetime(df.time.values, unit=\"s\").tz_localize('UTC').tz_convert('Europe/Stockholm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df = df.set_index(\"time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = df.resample(\"1H\").ffill()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "df = df[(df.index >= \"2014-04-01\")*(df.index < \"2014-06-01\")].dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "time = df.index.astype('int')/1e9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "temperature = df.temperature.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "temperature_detrended = signal.detrend(temperature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "window = signal.blackman(len(temperature_detrended))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "temperature_windowed = temperature * window"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data_fft = fftpack.fft(temperature)\n",
    "data_fft_detrended = fftpack.fft(temperature_detrended)\n",
    "data_fft_windowed = fftpack.fft(temperature_windowed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/rob/miniconda3/envs/py3.6/lib/python3.6/site-packages/pandas/plotting/_converter.py:129: FutureWarning: Using an implicitly registered datetime converter for a matplotlib plotting method. The converter was registered by pandas on import. Future versions of pandas will require you to explicitly register matplotlib converters.\n",
      "\n",
      "To register the converters:\n",
      "\t>>> from pandas.plotting import register_matplotlib_converters\n",
      "\t>>> register_matplotlib_converters()\n",
      "  warnings.warn(msg, FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "ax.plot(df.index, temperature, label=\"original\")\n",
    "#ax.plot(df.index, temperature_detrended, label=\"detrended\")\n",
    "ax.plot(df.index, temperature_windowed, label=\"windowed\")\n",
    "ax.set_ylabel(\"temperature\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-temperature-signal.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "ax.plot(df.index, temperature_windowed, label=\"original\")\n",
    "ax.plot(df.index, temperature_detrended * window, label=\"windowed\")\n",
    "ax.set_ylabel(\"detrended temperature\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "#fig.savefig(\"ch17-temperature-signal.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = fftpack.fftfreq(len(temperature_windowed), time[1]-time[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mask = f > 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "ax.set_xlim(0.000001, 0.000025)\n",
    "#ax.set_xlim(0.000005, 0.000018)\n",
    "ax.set_xlim(0.000005, 0.00004)\n",
    "\n",
    "ax.axvline(1./86400, color='r', lw=0.5)\n",
    "ax.axvline(2./86400, color='r', lw=0.5)\n",
    "ax.axvline(3./86400, color='r', lw=0.5)\n",
    "ax.plot(f[mask], np.log(abs(data_fft[mask])**2), lw=2, label=\"original\")\n",
    "#ax.plot(f[mask], np.log(abs(data_fft_detrended[mask])**2), lw=2, label=\"detrended\")\n",
    "#ax.plot(f[mask], np.log(abs(data_fft_windowed[mask])**2), lw=2, label=\"windowed\")\n",
    "ax.set_ylabel(\"$\\log|F|$\", fontsize=14)\n",
    "ax.set_xlabel(\"frequency (Hz)\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-temperature-spectrum.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 3))\n",
    "#ax.set_xlim(0.000001, 0.000025)\n",
    "#ax.set_xlim(0.000005, 0.000018)\n",
    "ax.set_xlim(0.000005, 0.00004)\n",
    "\n",
    "ax.axvline(1./86400, color='r', lw=0.5)\n",
    "ax.axvline(2./86400, color='r', lw=0.5)\n",
    "ax.axvline(3./86400, color='r', lw=0.5)\n",
    "\n",
    "y =  np.log(abs(data_fft[mask])**2)\n",
    "ax.plot(f[mask], y / y[10:].max(), lw=1, label=\"original\")\n",
    "\n",
    "y = np.log(abs(data_fft_detrended[mask])**2)\n",
    "ax.plot(f[mask], y / y[10:].max(), lw=2, label=\"detrended\")\n",
    "\n",
    "y = np.log(abs(data_fft_windowed[mask])**2)\n",
    "ax.plot(f[mask], y / y[10:].max(), lw=2, label=\"windowed\")\n",
    "\n",
    "ax.set_ylabel(\"$\\log|F|$\", fontsize=14)\n",
    "ax.set_xlabel(\"frequency (Hz)\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-temperature-spectrum.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spectrogram of Guitar sound"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# https://www.freesound.org/people/guitarguy1985/sounds/52047/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "sample_rate, data = io.wavfile.read(\"guitar.wav\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44100"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1181625, 2)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = data.mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26.79421768707483"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape[0] / sample_rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "22050"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = int(sample_rate/2.0); N # half a second"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f = fftpack.fftfreq(N, 1.0/sample_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = np.linspace(0, 0.5, N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mask = (f > 0) * (f < 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "subdata = data[:N]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "F = fftpack.fft(subdata)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(12, 3))\n",
    "axes[0].plot(t, subdata)\n",
    "axes[0].set_ylabel(\"signal\", fontsize=14)\n",
    "axes[0].set_xlabel(\"time (s)\", fontsize=14)\n",
    "axes[1].plot(f[mask], abs(F[mask]))\n",
    "axes[1].set_xlim(0, 1000)\n",
    "axes[1].set_ylabel(\"$|F|$\", fontsize=14)\n",
    "axes[1].set_xlabel(\"Frequency (Hz)\", fontsize=14)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-guitar-spectrum.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "N_max = int(data.shape[0] / N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_values = np.sum(1 * mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "spect_data = np.zeros((N_max, f_values))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "window = signal.blackman(len(subdata))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "for n in range(0, N_max):\n",
    "    subdata = data[(N * n):(N * (n + 1))]\n",
    "    F = fftpack.fft(subdata * window)\n",
    "    spect_data[n, :] = np.log(abs(F[mask]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 6))\n",
    "p = ax.imshow(spect_data, origin='lower',\n",
    "              extent=(0, 1000, 0, data.shape[0] / sample_rate),\n",
    "              aspect='auto',\n",
    "              cmap=mpl.cm.RdBu_r)\n",
    "cb = fig.colorbar(p, ax=ax)\n",
    "cb.set_label(\"$\\log|F|$\", fontsize=16)\n",
    "ax.set_ylabel(\"time (s)\", fontsize=14)\n",
    "ax.set_xlabel(\"Frequency (Hz)\", fontsize=14)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-spectrogram.pdf\")\n",
    "fig.savefig(\"ch17-spectrogram.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Signal filters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convolution filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# restore variables from the first example\n",
    "np.random.seed(0)\n",
    "B = 30.0\n",
    "f_s = 2 * B\n",
    "delta_f = 0.01\n",
    "N = int(f_s / delta_f)\n",
    "T = N / f_s\n",
    "t = np.linspace(0, T, N)\n",
    "f_t = signal_samples(t)\n",
    "f = fftpack.fftfreq(N, 1/f_s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "H = (abs(f) < 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "h = fftpack.fftshift(fftpack.ifft(H))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_t_filtered_conv = signal.convolve(f_t, h, mode='same')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8, 6))\n",
    "\n",
    "ax = plt.subplot2grid((2,2), (0,0))\n",
    "ax.plot(f, H)\n",
    "ax.set_xlabel(\"frequency (Hz)\")\n",
    "ax.set_ylabel(\"Frequency filter\")\n",
    "ax.set_ylim(0, 1.5)\n",
    "\n",
    "ax = plt.subplot2grid((2,2), (0,1))\n",
    "ax.plot(t - 50, h.real)\n",
    "ax.set_xlabel(\"time (s)\")\n",
    "ax.set_ylabel(\"convolution kernel\")\n",
    "\n",
    "ax = plt.subplot2grid((2,2), (1,0), colspan=2)\n",
    "ax.plot(t, f_t, label='original', alpha=0.25)\n",
    "ax.plot(t, f_t_filtered.real, \"r\", lw=2, label='filtered in frequency domain')\n",
    "ax.plot(t, f_t_filtered_conv.real, 'b--', lw=2, label='filtered with convolution')\n",
    "ax.set_xlim(0, 10)\n",
    "ax.set_xlabel(\"time (s)\")\n",
    "ax.set_ylabel(\"signal\")\n",
    "ax.legend(loc=2)\n",
    "\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-convolution-filter.pdf\")\n",
    "fig.savefig(\"ch17-convolution-filter.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### FIR filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n = 101"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "f_s = 1.0 / 3600"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nyq = f_s/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "b = signal.firwin(n, cutoff=nyq/12, nyq=nyq, window=\"hamming\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(b);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "f, h = signal.freqz(b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
    "h_ampl = 20 * np.log10(abs(h))\n",
    "h_phase = np.unwrap(np.angle(h))\n",
    "ax.plot(f/max(f), h_ampl, 'b')\n",
    "ax.set_ylim(-150, 5)\n",
    "ax.set_ylabel('frequency response (dB)', color=\"b\")\n",
    "ax.set_xlabel(r'normalized frequency')\n",
    "ax = ax.twinx()\n",
    "ax.plot(f/max(f), h_phase, 'r')\n",
    "ax.set_ylabel('phase response', color=\"r\")\n",
    "ax.axvline(1.0/12, color=\"black\")\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-filter-frequency-response.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "temperature_filtered = signal.lfilter(b, 1, temperature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "temperature_median_filtered = signal.medfilt(temperature, 25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 3))\n",
    "ax.plot(df.index, temperature, label=\"original\", alpha=0.5)\n",
    "ax.plot(df.index, temperature_filtered, color=\"green\", lw=2, label=\"FIR\")\n",
    "ax.plot(df.index, temperature_median_filtered, color=\"red\", lw=2, label=\"median filer\")\n",
    "ax.set_ylabel(\"temperature\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-temperature-signal-fir.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### IIR filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "b, a = signal.butter(2, 14/365.0, btype='high')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.91831745, -1.8366349 ,  0.91831745])"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        , -1.82995169,  0.8433181 ])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "temperature_filtered_iir = signal.lfilter(b, a, temperature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "temperature_filtered_filtfilt = signal.filtfilt(b, a, temperature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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77NVXX4Vt22j3u5knedrwwOav//qvx/1ZKKWglELTVGysMDoc18MPn9kFACC1U6mqcBRADhw4+EJfrPKCH2hsfMZGDDBczwsCkyCwcXlVVOhjAzDxcISxcSlMXQsCo7ECMtv1oGvT0+5mMrFhDcc1x2Zgc+vvbkV7Z3tVX3PNgjX47vtHb655yy23YNeuXbjqqqvwl3/5l5gzZw42bdqE73//+8FzHnroIWzatAk33HADstksPvWpT+HnP/85fv/73+Opp57CN77xDVx55ZURo749e/bgBz/4AXRdxwMPPIDvfe97Qffvrq4ufOITn0B3dzfWrFmDhx9+GJ/61Kdw1113Ye3atcFr3H777di5cyfWrFmDyy+/HHfeeSfuvPNO/PznP0e5XMY111yDr371q9izZw8+8IEP4LLLLsMLL7yAX/3qV9i2bRv+/u//HuVyGStXrsR9992H+vp6/O53v8Ott96K1tZWnHXWWVX9rhWOHrxzONQGzGvIzOBIFGoZlFIQKfLlAYDMcJR8/UqhXN3ApmAxc74Gv4KJBy6UUkljExcPa4RExMPlmHiYQDtCYEMlz5yMGQY2YzE8k8FsZWzUdnua8IMf/ACLFi3C008/jdtuuy3xOddffz3Wrl2LdevWob29HX/zN3+Dq666CnfeeSfWrVuXeMzy5ctxyy234LbbbkN7e3sQ1ADAvHnz8KMf/QgXX3wx2tvbsXLlysTXuOOOO7By5Uq0t7fjzjvvxBNPPIHt27fjpZdeQnt7OzZv3oxnnnkGALBt2zZ88pOfxKuvvoq6ujp8/etfx1NPPYVXXnkFa9euxbe//W2USiV85jOfwWOPPYYNGzags7Nzkt+ewtGKvjzTQRzfVjelE7TC0Q2ZlQGAvMVSmK7UUqHoO/lWXWNju0gbOtK+EZ/lsvfxKGMneODCH+fBi+PRIA3FHtdhOV7gc2P7GpsjMTZiIORI5eBieXi102+TuSRVS4VxgBCyBMC/A1gAwANwL6X0/yOEzAXwIIDlAPYA+HNKaf9k3utIzIoC8MQTT+CJJ57AmWeeCYC1X9i+fTuWLl2KZcuW4fzzzwcAvPjii9iyZQsuvPBCAIBlWXj3u9+NrVu3YsWKFTjxxBMBAJ/4xCdw7733zsyHUZhRDBQtzMmZMDQtYjOvoCDCcSlMKfsyUmKBTSwV5QcBBctF0XKRTVUnbVOyPWRNLWidYDlSywQ/eDF0DSlDQ8EPvBzXC4IWgDE2AGC5HkxocDya2DxThFjhJW8AbCf8u9osyWQ2G7W8T6mZwAaAA+B/UUpfIYQ0ANhMCHkSwE0A/kApvYMQcjuA2wH83QyOc9aDUoovfvGL+J//839G7t+zZw/q6uoiz7v88svxs5/9LPK89vb2GK2scGxioGCjOZeCrpHEXbmCAsCDhzBAcVwPfT4jIy/mJctFfdrASNlBX8HCcalsVcZQdlykTR2EkIgAmAciuqAnzKX0gDmyhYopAALjEzItY4mHn9vRE9z2JP8+zhwB1Q9sVCoKACHkXYSQ7xNCfksIWejfdzUh5MzJDoRSeohS+op/exjA2wCOA/BhAP/mP+3fAFw92feqZTQ0NGB4eHjsJ07ymCMd/6d/+qf4yU9+EjTKPHDgALq64sZR559/Pp577jns2LEDAFAoFPDOO+9g1apV2L17N3bu3AkAscBH4djBYNFGU86ErhHF2ChE4EXEudFz453DI0H1kxgQex5FyXaxoInptQaqmI4q214QlJg6ge0zQ7bUCwpggU3eD2wcz4Opxxmbsu0FaaS0ocVExxxDJTvytyNFNkM+c9WQMTCKafGE8cYkvIDE5p61hnEHNoSQKwC8DBZsvBcAD5NXAvj7ag6KELIcwJkANgKYTyk9BLDgB8C8ar5XreGmm27CLbfcgjVr1qBYHF8PlQ996EP45S9/iTVr1mDDhg0Vv2dLSwsuvPBCnH766fjCF76AK664Ah//+Mfx7ne/G+9617tw/fXXJwZObW1tuP/++/Gxj30Mq1evxvnnn4+tW7cik8ng3nvvxZ/92Z/hoosuwrJlyyoe07GO53f0YH/f1HhXTBcopbAcDxlDh6EYGwUJu3rywW1bWuxf3tMHAGipTwV+MQBrIul4FIvnsOVHrD6aLLjGBvArmyTGRtTRZFMGilwD5NEgaAGAjP8aJdsNPpepa0HwIwdxgwUW2JyzfC6AOGMzVLTR1pBG2tCqzpK8tLsvuF2pWZ/Y3LPWXIgrSUX9I4DPUUrvIYSIq9x6AP+rWgMihNQDeBjArZTSofGmNAghNwO4GQCWLl1areFUFXv27Alu33TTTbjpppsAMB8bjuuuuw7XXXdd8Pf9998f3F6+fHlQEXXppZfi0ksvBQCcdNJJeP311xPfU3wewErDk8bz05/+NHLcZz/7WXz2s5+NvZ5YkQUA733ve/Hyyy/Hnvf+978fW7duTRyTwpFhux427u7Dxt19uO3yk2Z6OBOG6O+huaSmqWuF6YfY6Vpc7CmlGCraOGFePYq2G2EpOLvBGRs5IBovCpaDXCq6/LFqJJ+xMbSAbQk0NkLwUpfScWggTEWZQpoqk+LiYjfoH2XqJLgt94rif/N+UnKqqmi5LPVlu1W9huQAi9LKLBle2NkbeS0x8JtpVJKKOg3A4wn39wGYW43BEEJMsKBmHaX0Ef/uw0LaayGAxGYalNJ7KaVrKaVr29raqjEcBYUZAc+3ixPp0Yhgp6sRxthMcBFSmJ0YKIQpGDH9MlJ24HgUy1py0AmJMDY8kMkYOnSNjNpQ8kjo6C/g//z3LuzoCvfnlFKUHS/C2PBKpSSNTZYHGh5l4mFhUeel2iUhFcWrogiJam8in8kPqlyJsrE9puFh30X1rqFhKQVWSdCU938jjlqreKwksOkHS0PJOAtAx2QHQhg182MAb1NKvy089CiAG/3bNwL49WTfS0GhlvHWwSEAwLzGdOLjbx4YxLqNe2uO/pVhC8ZlGmGMTa2PWWH6ULTDVIYY9HLtRl3agKFHU5hBoGBoMCUjvPHi8FAJAHBgoBS+v0fhehRpM+z3FDA2CRqbrKmDUuap44ySiirabhDEpAwNhDDWRmaZ+Pvw4+RYzfWrrtg1VPHHHRWDRRbYHN/GCkIqeW1eah8cW2Xtz2RRSSrqpwDuJIT8OZjZtUEIeQ+AuwDcV4WxXAjg/wLwBiGEu+d9CcAdAH5OCPkUgH0APjLRN0gygVKYOahFLhm5FPPBaMyYscdKtosntxwGUDl1PFn0jJTRNVQe+4kAFjWHZny6RoIdba1R1gozh5LtIZfSUbDcSPDCq42yJmNl3EhgEwYZpk5i7Md4wKcd8Szk7EwoHg6DppCxSWZlHL9lAoepM4aSaWxCxoY/ZjvJqSj+mjIrwwMn7QgC/Ke2HIauEVy2avwS1KEiCyybcykA+YoYG/598XReraWZKwls/jeA+wHsBTsntvj//xTANyY7EErps4ieayLeN9nXz2Qy6O3tRUtLiwpuagCUUvT29iKTUW60ImzXC3ZSSfTumwfCKgbHo0hNU7pqZ/cIHq2gieXxbXW4YGUrADaZcw8PZmY2JUNUmELwTUg1586i5aIhY6JguZHFvCAGNiSawuRBQMr3kplIKoq/lSZ8Ft6mQUxFhRqbBPGwGQqERVdigH1HGZOVg3MPGi4cNvX4mOVUlBwkuP7r69romqI3/HmhksAm7GbOPkslsQn/vnK+h1CtpaLGHdhQSm0ANxBCvgyWftIAvEop3T5Vg6smFi9ejI6ODnR3d8/0UBR8ZDIZLF68eKaHMSPY25uH41GsbKuP3D9YtIMJJimf3j0cMibTuUva2cVK/xc0ZfDB0xce8bm/eeMQbJdGdrp84q+1nZ3C2LAcD//y9A5ceEIrzl0Rl1N2DZXQX7Bx8oKGcb8mpRRF20VrQxqHh6KCWp6iyqYYYyOeM44bshdJQcJ43xuIsp0xxkbo0B2KhwWBsBmmm5iPTTTgy6R0lBwvYJQ4Y5MytFiPq/19BRASlonL1YOOr7Hh6dxKYTke2vcPYO2yOUFbB4AFJ6KoeWKMjd8wtMYqHscV2Pii3v0A3kcpfQvArikd1RTANM2g+aSCwkyCUopHXjkAALGqJ7GTb1JgI3peTKelOZ/IrjnzuEgfmyQYOvH764STutwRWeHoQdnvzfTa/oHEwGbdxn0AUFFgU7BcWI6HlroUdiJ6Lg+XHKQMDWlfR2NLjE2Y1tEirrzjBX8rMbDh6SEeXORSOmyXouy4AWOka8mMjet5kaAHADKGhpLlRhgmAFjYlMGWg0PwPApNI+jPW9jn2zqM5kzsuDTU2Ezg+nluZw/a9w2gMWtg1YLG4P6S7SJj6sH7VhLYFMouCEHg+lxr7RXGJR722RobQSN5BQWFiYL3T0qCqCFImixKttA3ZhrZj5Gyg2UtuTGDGoBN0BSILAjB5FljE6DC2ODpJ1rF6X/AT7e21jOBvFwVVZ82QPzGktGqKE9I60xQY5PwOQKhu//avBHmSMmJVPdxcJFxwWKMDWd6OLIpHSXHRb7sIG1qAVPSWp+G7dKgDxZPOy9rySX2kvI8Co8ylkrWG40X3OhQPrbkeL7Tsv9eFbx0R38BCxoz4ZhrjImtpCrqewC+SAippTYMCgpHHTqHwmoMWUDN6e9sSk/cQXH6GJjeIGGkxBab8YAAABW0CYJ4WDE2Rx/4eVjNn67gm7s1ZZlAPlIVVXaDFAc3duTXiWiGl5pgKoqLk8VKHr6h4MxKgy/cHy45MQEwwFJWGmGMC4BYwJ8xmMamd8RCa11Y3civoRH/83MG9vJT50P3y8HFJpi24KGjkcn9BkSSsJZsFxkj7GFVSTHHcMlBS31a2LBMfFxTgUqClIsBvAfAAULImwDy4oOU0quqOTAFhdkKXo0A+I33hCZ+YoWEHARQSlGyPTRmDQwU7GkLEsqOi5Gy41dPjA1C2K44bB6oKcbmKAb1F61qbso585hLM8ZAZBPKrhcEPLpGQClb0HWCiFB3ohqb3hEWjNgSE8RfE4gGICXbg0ZIpG0CEwhrgReP3Igzm9JRsj0MlWwsmZsL7m/0P9dbB4awsCkbfA9Zv0eVqWuwE6rAzElobEZLtJQdD81ZU0hFjfPVKEXBNw08Uv+rmUQljE0PmHne42Bl173SPwUFhXFANMaSqXSuZcmYeiwIKDsePEpR50+61Q4SXI/iD28fjhl38dRZS30FgQ2NpqJqlbJWGBv8N6tmKqrkhJVPhkYii3nZdgPmxJDcehljI7oDJ49p/bYuPP7Godj9bx4YxIGBYvA+HHIHb5YKY4wKa46pxSrCcikd3b57clZmbEzW/mC45KBOcDhuqUshZWh448AgXI/CdlnQpGthek1kbILS91S89H28CMrbpYK2su36zBP7e7xBE5+Hsim9ZjcslVRF/cVUDkRB4VgBb2oHRGlnQGRsNAyXopPFkJ+Pn5NL4UB/sepBws7uEbzeMYiy4+GD7worn/jkWpcabyqKaWxEbUJSA0DPo7C90O1VoTbBF7yJnG49I2Vs6xzGBSujNhtFy/W9aDQYuhbR0ViuF2hYZN2JG2FsmPOw7E9GKcWr+wYAABef2BqklQAEHlBAqG8BAIuXZftBk64R1KUMjJSYw27GiHMAC5uy6BlhZdY5ibERPahENocQgveumoffvdmJ/oIF23ct5uM3tCgLxYsJsr7IdyLxAz9EDmy4eJhUKB7mY+Luz5UcO12oqLu3goLC5DFcshOFggDrYZNN6TB1Ld4sz5+I59aZicdOFlzfI1Z/ABBKVsfbt81nbIRdcNIE+OTbh3HP0zuVUWONg+/Gx/qd5Mc9j+I/XtiLl3b3BUwkR8l2gwVfbLfBG6em9TDAAEJtlqyxoTTu7SKyoFs74817AeCEefWRlg42d/cVTfj8tgmMsYkH30tb4ikmjhWtdcHtunT0WC6Y7h2xWJ8p4bpiwVqCp09KZwZ9E7hWQkPC8H0c14PtUr8qKvq8sRC6KYfXda1VRY2bsSGEvIEjVEVRSldXZUQKCrMAXcMl/PHtLlx+6ny01EdbI4yUHDTnTPSMWDGdzLAv0tUT8unc/4LvQKst2BPt30Xwklr5/iOBggpW9Mnl3lv81hH/ZILLAAAgAElEQVSs+aBibWoV7jgZG66D4Tg4WAxuy79x0Q6DBV3o/G67FJSG55roWA2w84ezOWJTSfHcLFkC+yMFVKZOsHpxM7IpHTu6RljQYuhwPA+mdH7nTD3o0M2rpEQc15wVXjd6rCH8nTOjx87JMV1L70g55lps6FqkQqxoR80KJ5PyERmbfJm3rUgu9z40WET3cBmrFzfHXkfU/ZAK01jThUrEww9Jf5sA1oC1QviXqo1IQWEW4JW9Azg0WMKe3nwksHFcD45HUZ8xWGAj7TZ5qasu9cgBQv0Nz+dXOxXFF4G0NElbLpsE5cl7NBBCfMaGBvoBIyEVxXen3cPliMBSobbAT8OxzjaPUugCKyDaGjAvnJDVKNtecB6zxZwHNnILAvZ/2N7Ag64ZkcdkAbFogCeyN/v7CkFpdrPPsAwWbcxr0GE5UfdggAVc+/pYBeOCxrhDel3aQMbUg35JMnhFV05ibAxdQ33GwFDJDhpciseI3jxiewmNTOyaT9JGjfjl5nUpI1E8/J8v7QeAxMDGCUrjWWNOIN7faqZRicbmq0n3E0K+AGBZ1UakoDALUPAnjv58VIgr91hxJNqlbHtoqdMSd2eWw4SG6VG6AFdrzPLOlesPUuMNbADfoC90ZOWvKS5CGVOH7Tp4aXefCmxqGGEqaozn0eRAHIgzJyXHxdw6JkY3BK8aHuBwho+zPNwk0PFosJimDPa/LMDnHjHy+3YNsyClrSEdVD0NFmzMa8jA8bwYI7mgKYPdPaz4Vw5OOG55z/GJ9wPMC6e/YMeExQBrYzBSdkEAmFIPKjEgLNoOSxf5aTJKEZj7jRf8ZxF/H15uX5c2As1MEhuU1F/RFlLTtZqKqobG5hEAN1ThdRQUZg14SSmv/uDgEy0X4soTAndWZRUQ0dcsOy5SxtTtkrjmQF7AuCnaeCdTVu7Nd9ehHgKILnZ8YZMDKYXaQiAeHoOzkc+bsmAmKf7ulFKMlMNqIV0LdSWOxNhw47uSYDIXVhDxYDn6xp2DJWiEoDFrRgIbPoblLXVoyjHGhhsFMo1N9Dw8d/lcNGQMpAwNJ89PdlUmhMQWfo6rzzwOF53YGhMWA0B92sRIyY6l0erTRiQwK1oesv5GZjSH4PFq1MR9UFlwWj5ScJJkgChudLQE7VwtoBpme5cAKFThdRQUZgVKthsYcMk0ecDY+DtAeVIWAxuP0sjuzHI8pMeYiCYDHtjILFK+7CA7zooowK+K8kWdhhTYiN8Hv63Ew7WN9v0D43penLEJg3qeUgFYkFK2vUBwa+okCFzkhpNJjI2hS4GNxAb15S3MqTNjBn4HB0qBQDit6cildAwWeGBDY+J4TSO46YLlvnFe5c0/m3MpnLM83oICYNqWPb0uXAo058IUXS6lo2x7wTxQtN2A3eWEqUtpsHBTSvH4G52jjqEvb2GH3+dN/H3EVg+2H1glBzHxqkXRn4p/K7XG2FQiHn5UvgvAQgBnAkhMUykoHIsQ+z3JgQufoDkVLtun2y6N7qIoBZ8+SrYXsWefyC6pd6SMwaKN46Xmm47rBS6ocoZruOSgMUE8ORpYVRSNlOaypoUksoPmt+WKGYXawq7u/NhPQtzgreyw4GWoaAeBPhD6ODVl+YKtwfHYdRGkObQjMTbsPrERpYihkh2IfYtWeNz+vuj+uylrRhibJDsDY5zp10rRkDFgOR4sx8MJ88JrkXtUFcoumnIaipaDJt8YM8nl13I9vHM4ufILAH720r7gdqSZqBBAyjomEUn3iamooGFvjW1OKvnV+hA15OsC8BSAD1BKvzYFY1NQOCoh7nxkcbDcFdeR/DuA0GUUiAY+3O1ztFLx8eDfX9iLX7cfjN2fL7ujTlLDZSexKmQ0ELBUlONR6MLCkBI6JgOA5X83SZOnQm1APMfGWrvk87HssPO1Lq1jWPBuCjtpi+Xe0X5GusDKGBoJGRuBBeTn5FAxqmNjgbiJrGkEQU9ZSgkDLBXaPVxmejCXjlscXw3Up0OWpk5IVfHAJm85sBwPPSNWENwlpaLECrAkiNeW+PPYjgdC2HefPgJjk7TpKFosxZyqYUfxSsTDN03hOBQUZg04S5M245bvXHdQF4iHwwmBTyxpQ4sYknEULAdz63LBZFLNlgqiFkiepJjnSKWMDWOBRGGkbIHPJ92J2OIrTA/G+m1EdjKp71lK15D1y6Y5wsAmNOHj53lQSiwJaku2F2kICbDzKZeKBk2W46FouWjImCjZLoqWE7QiAYBLT24Lnrtkbg5vHRxC93A50K9NF0Sfm2wksGG382UnSA1z/6qk9gUyW3UkRFJRHvXLtY/M2IhMm/ieGd+JmX9ltdYDbty/JCHkj4SQWO0XIaSREPLH6g5LQeHohSgQjmts2ETENTYioxP4vojVBuIkJvVnSUpF2a6Hf12/M8iri5CpeBGiBkIMplyPGaYlOa+ODhIyNsIClTK0yK6QfzeKsaldjLVg9RfCCp6kVFTa1EYNaEWvGv4+on6DI21qKNlupKkqR0PGDFKoQJjmaswaqEvrsF2KvrwVBFZiv7PFc5gPzb6+AoqWlyjynSqIQZSYAuO385YbXIcXndAKAInsSMGKBh5ycClef+JjthN2Sed2DEmat47+QvJGx08DJqWYawGVzFaXAkhqFpMBa5CpoKCAcMHOpeKNLMt+yXYqqHwS8968k6+gsXFD5sbxmAeHnpCm4jg8VELJdvHS7r7YY7x0NQnizk8MpgL79AoM9DRfYyPT+6auBbt116PCLr22JkWFEGLLj6R0pBgQx8TDNhOexlOQ0cBG17TgfcTgniNj6EF/Ivb88LHGrBFhbLhmpilr4vhWpl3Z21cQerCF52NDxsTcuhTeOTwS9D6aCYgBFWuGycqx+SaIOxXzoi3xsudM1KmLGmOPHR4qwfUoTlnIHhMvM8eLGgOKv5GoC3xt/yAefzPac6vot2IQj621a3jMwIYQchYh5Cz/z9X8b//fOQBuBnBgSkepoFBjGCrZ+NGGXRgQdqwcVqCjMWK9oMSGeoZOIh2GQ6feOGPDJw7DL7EkJDmvzcvMkxpWDknNLZPGnDK0yOtOJLAhQeDlRRahtDABWoLWyHbpqDn6UgVU+3Ti+Z09+M3r8SaLsw1WEBDoiQyhGBAnVUWljSMwNtyEzzey495H7L4jMTbR8mgxXdI5yLxq5uRSaM6ZMHWCkZITeMOIfaMAYGVbPQ4PsWOmk7EBgEtOaoOukUg7Bk0jyKV05C032AQFzErChoankPnYxd/g4Vc6AISFCuJjlhs1BjT1MLCRtTbbD0fZ35Ic2OhazTE240mcbwLTAlIATyQ8XgTwN9UclIJCrWProWEMlxy8cWAQF5/YFnmMTww5nwoXTa7YLlbQFgi7o6BppE7g0qhTr1ieGRybsND0+N2GG9LxS1ts+iebfHG2KG1okdcN7dPHX+7KDPr80lwxFZUweebSBgqWC8v1kNGiC8tg0cZPnt2Ny1bNw5olcQfUmcTGXYwR+zMsHOOZRzcefoXtWdOGligkLQleNWK1jutX+PHAxhLOc8thAS8PenXfeM71aLARiAbEOnocK7hWdEl/YzkeXF9/81rHABY1Z4KFtz5tYLBoY6hkozFrBos8x+I5Wby8h91uqYu2PplqnL1sDs5a2pzQNdxAwXKga2yjwR9PqoYs2S4IEdzIPQp5D+JRGtsI2Y6HlJ6cJubX6HnHzw3OcxFiKoodqycKj2cS40lFrQCwEmy+Otf/m/87DkAjpfQnUzZCBYWjDNxXI2fGvWrKgi+EoUX7wgSsjKYFO1b+eBBgGOEkl6R/ODjA+vMkBT2F8ui7a266lTb1qMYmgf4fC8ygj6Wi5F2hzNjU+1qjpImR78Rf7xifj4pC9cEZM40ka7qi1gbhbzgiONumDBJlbFw3smBzFmWwaCcG0pmAseGsZZQFBBg7dHCgiLLt4dwVLcHji5qz2NdXQEd/EYua4m0R5jWm/ffQ0ZrAck41kvxx6tI6CpYb2QQByYxN2WYGf/w6E3+i432B8rkr5kIn0Y2Q40UNCSObDv//BY0ZXHwi0/fwtBillJkGpqKpqFqzbBiTsaGU7vVvKntQBYVxwHaZaJY3+XM8DymEE3CSaJI9L2RsvFEYG54XT2q5cHCgiB4/FZWkv+G7O0qjJl98jIYvIhQXsKRd8liIvEdCdQulNPg8XCx5eLCERilN0OuzT6KGQmFmkDL02O8wWLQjWi7xXOYi3oaMgYECM53jzCWvluLgAUVf3grOQ3HBTxuMlbFHYWwAxhx1DbPzZVFzGMCsaK3DW36z1YVC00qOXMrAJ85fhpSuTciEbyqQSxnoHSkgl9KD9ilAGNA5kY2Si4yhB0EPC/7CDVVrfQoZU4/1nrNcimwqqrHhncTFtPQc3x28Z8TCcc3ZQOskpqKWt+Rifl0zjYqchwkhBhhrsxSSkJhS+u9VHJeCwrSgP2/h4GARpy1qij3Wl7fw/M4evP+0BTGjLtl3QwTfkfJdpy3R8M250Eo+Ih4WNDaeJk5U4WTDmRz5WCDU1wDx3bXNm2/6mgTZhI+zK3IrhwkxNrwqyvUiu+tcmrFBJd9ZFQi1QC/t6cOJkm39H97uinz2WsGx5JQ8ty6FguViWUsO3X7gwPH4G0xjxM8psXcZXyRzKQPZFNPn8A7fZSfaRoAzNiNlx3cWjl5rXPDLWSA5WAZY0F6w2HUnOuWKwczSUfqRtTVMbwpqLNSlWHq2ZLuRz8KDQZHdLNme30uK/R0x7xO+ZzntnWTFYDmW//rst0sZGpp8/U/PcJkFNnZchL12FHflmUQlzsOrADwGloIiAFz/eBtAGYAKbBSOKgwWbdz//B4AwKkLG2M7tj9u7cL+vgJWH1fC0pbopMhFk3t68sDJ0de1HFYNlNR9WJzUTU2LBD1iqSuPWcIy2GgqykhIRQ2X7SDfLmd2eMogl9ZZYJMQ+Jg6YZR1pNw7rnkYE37aQi735vqGkbITBCtL5uaworUuUjacBFmwOJOoNdp9KlGyXZw4rx4aYUyeqBeLlG2X4wE8f4wLW4uWG2hixMAmYzKjt4LlRgz4OHhLAS7UFxd73m/s0GApeH0R9WnW62lOLhU8t9ZRnzHgehR9eTsoSQfinc4Bfl1oifYQJd8gEWCl4lHtXLQqKi1obAKfIV1HfdqArpGg8IDPe0mNPWsJlaSXvgtgM4AmsN5QpwBYC6AdwHXVH5qCwuQxULDwRsdgYjmi6PUSL8t2kfd3iHLvJCC8wPsLdqTkFWCTRkonwQQd8arxaMQ/Qtzlij4dMu0sBxiGHi+xHCraqE8bMHQtxuaUJGNAWYPDhb66JErmb6FXQNMTiOyT4NfBXVXLTmhGqOuoSxsxh2YZYsfjauDAQBFdfjVMpXjzwGBwezazN9zYLpvSwWMN8bziPY5OnM/KqsXfUBS788WVN3e03Kh2hBC/EqjsxFg+gC30AII0q3hsky8I5l41SQvupy5agT9fu3gC38DMoNlnSRhjE00XAdGNEi+9lvU3nkfRn7cwJyd2UI8WBUS0SqYWsDFiUEoIQUPGwFDRCd4PwIyVxo8XlQQ25wD4OqU0D8ADYFBKXwHwtwD+eSoGp6AAsDLl7zz5Dvb1xg3mXI/iO0++g9dGadR333N78NTbhxPbCIhW7HIgsOGdnmAxzZfjJcdiNchAMbro8h1pEmPjejQw2oppbIRUFE858WPlUldTJ7FgoHOwhHmNGegJQs+SNCHJ+pyy48I0tJgoWfTWGS+IwPqIk2d9KmoXDzAGKol9AoDGrBmIO5McUAH2fQ4foYx9NPz85f1Yt3Hf2E+U8OaBQWzY3hP8XWOGq1WFqKcITSHDx7nZ3VlL5wBAxLpAFAHzdEZ/3t/1JzArc+pS6B4pw5KYBCBk+nrzLBUm6k4AFjDnyw6KthvRjXBkTH3Kej5NBcSmmOL3JM8n/XkLAwU78MQCwus+bzmwXRpUeunSNeZ6VGJsmOeW43oxA8XW+jQ6h0p+oOvbPxizJ7AhCLt4d4NVRAFAB4ATqjkoBQURT7x1GADTYcjgk92Lu3qP+BpJrruir4vMfrwh7MpLCX1mRJMq24mb8KUNPZg45AmFBwmGpklsDuvfIpbCBqkoSTgpV1QVLRf9BRsLmzKJ+hte1cAZG/FhSikODpQwryETEyXzt6ggroG43xbTCrnALt6NeJkYOon5/QCMpeL6i4KV7Gfzx61d+NGG3dOmw+keiepMaqWrsetRrN/WNWEWKgmhh1FyR3nPY0FPIjPphudyU9ZENqVjf38BlFIULDfWcHJhUwY9w9ao6SQg1JDJ3abr/PRq0UpmbI42iCJ60VvH1Jl/FWc7+/zU3NKWXGy+CHpuBSX1oT8Vb1CrRQTavLjBg+V6ES+tZS05DBVtDBTsWcnYvAngDP/2SwD+jhDyHrDO3juqPTAFBQ4elCTJPB58aT8AxHZ544FYqiovUKI2pGxHF03PoxgsWIHwVS5V5sZkRiAeDq3KXUF3Iu+iuL6A+KZcpk6CBV12XTWNqDcID/DmNaTZJBZjbEJvHfnzWv4ubW5dCroWfWxijE14W/weTV1D2tSQLzsoO34Vlr/b5AZtIhyPoiFtMCdWK5mx2dk9EhknR+9IGd958p2gsqpaKNseGjJG0HNoIh3WJ4phn7nkJf0idnaP4NV9A4nB/0Qh6il4MCE2k2TnMvuNCYk3dOW9iAghOL61Dnt68yjZzHOGn4cc9WkDHqXoK1gRYSrAXj+XYsLzlKHF9F71AmNTKzqsyYAbcALRAIIQgqypB7YNfP6a35CJtVsQKyyBqCYviU3lLFjZ7zguaqCO8wXYnUMllCxWWSmmyGoRlYzuGwg3Y/8bwBIATwO4AsD/U+VxKRwBJdvFgy/vO2LvnyT0jpRjlQ3Tie7hcmAgVwn4xZ20K+cXa30F3ac57IgmILpAESCg0HmVAMeA77ex2L/g5XEFqajR0knCZBPV2HgBZU4IcyTlpnpynxxTi7IcoWW8HgtOgHASDBmbuNAzbWiBSJSD366MsYkGMyJ4BQ2vkBGfI6ejXF8HkDH1mI6Jgw9Vji+2dQ4DALYn9MwaD8tiOR5+tGFX7BqzXA9pITUznc3/9vqp2Nc7BmOPccfdajJIYmUTDzbEFKxL2a6fNUMkksaGRkq6W+pTKNtewDLIjA2/fsu2l8i68MeT3IHruMmj4wVC46Md/JqQP484J/DfIp3AqPEAhwc8mhYysVxDF2VswsBVDmz4dy8Gj7VSGj8aKglsNgD4NQBQSndRSk8F0ApgPqV0/RSMTWEU7OrO4+BACZv39ld03L+/sBcPvLh3Ruhz2/XwwIt78bMJ6Br4Ap6XFreoUZUb2/GPpb1w3PAClil2x++x0pQ1Y4wNFxXP9RkbMY1F/bLWtKEnCICjE4qhk2hVlFQR0pgxg88QPzaaxhJTOxqJp6KKtgtDI8HnTQps+G44uQR98owNwEtZHSaMNLXIc8TPQ4WqqswRDMAoaOzzAEcuU+8aDtM1o10LvfkyhksOntvRE7m/7As6NUmsOR3gwamsMQHCwGY0LdJEwJmBurQeKavm8ARnaUOXUqPC7wuEmwTONskBiugInMS68MflgEg+djakogBWLQgwkzwRTUJg88w73QDYhkSuipI3QkmMjdzuBGCBpeVGAxve72uk7DAx+VHwHY9rtiKE6AAGIRW2Ukr76GwuC6hRcM1HJY3HxJ/p7UNDVR/TWOA7X0dofshBKcW+3kJihYnjhsZcRSkdIdLiPSNWLNDjYsXRwJtKAtHvMiit1gnSphZLNXGKnk/W8rGuR4Ouxuy+qOdNONloUtonGtikhcZ08rGmTiLjCko0/d1bUioqqXoCEJoS+n2oIlVRwe4O44b4VFMKiJgegvXB4QJE2WUZQFCFoRNmdFhO0DkBIVMT8+XxP19Sl/P/9NOXwOjXEP96xCDNcjx09BcjacbRelxNBfb4jI1cDu16NOh3NBqzNRHwKibG2PiBjZiKolTQfEWD9L6RcqS8uinLbvPApk5qbSD+3ZSNGjUCYfAip7DkY5PEw0cjrjh1Pj757mUxLUtT1sRwyYmcd4SQWCpKDl7YJio6l+ijaGzKkoEiADRmWOVZvuzEfrtaxLjOAkqpC2Avkrt7K0wz+M62kv4c4o53w/aeRLHmVKK/EAYZcurmrYNDePiVDmz10wcieBBRnzZgu9GgSH6ddqkyqmCHgZDcIwZgix+fsBN1JbqGlB5nCzhF35gxmZjPSQgwDC1YgHi7AkeabDg7IubFdanjrtgNWyMk6Bcj9sgBGJMAQOgaHv2s3O8iyciLM1Ipv3O4LB6WnWDHgvhcXSrd5RUsImOT5Ki6eR/TivSMWJEAbzTI5ev8M3AmYzQkBTaHBotBQCR+Fs6eNWZMwel1+gKbEf/9ZQaxZ6TM9EgZo6pNQ/NlB9kUS7vJqajhko3+gh2cj6ZgMVCymZC9rT40vmvMsuvv0GByw8mcwAIkNXDl16ncxBJgwbL8vKMdGVNHS33cOLApa8KjFMMlB4QA561g5niBgHuUwIa7NwPhtR9hbMzRU1EAY5AO9BcxVLIjc+lJ3zsJd2+8e9Kft9qoJLz9RwB3EEJap2owhJCfEEK6CCFvCvfNJYQ8SQjZ7v8/Z6re/2gBn4ztMSZ7EXzCW9Fah5Lt4lmJYp9qbBJEjXJAxndxSV4lnHXhZb+y2Z0IuXKG/71kbi6RvndcL5hgrQTGxtAITCnlA0Q7XrMGf4JoUkjraBovZZZYF38h55MHP152A+WTUSg6DseQMaNiTl7JYPBUVEK5t6gNER8vC2PmJeg0oLS9SLPM8UCMgWR2oS7NzMcGi3aQ1+efRewUzRew846fe8ReNHycMkPlRIKz0YOPJCv4/3xpP17x2T9Rh8Bfc2lLLrEh4VSj5H8Hw+UoE8kDrkXNWdgurRprk7dc1PnXB2fX+Gvf99we9AyXgwBPZAS4jm9hU2gulzZ05FJMK2VoJCY+Fc8x7r0i4l2LmzC/MYNTFjTEHpuNqajRwNmsruESKAUy/u/D5xQ+x8ipWNbElP12ToLpZqQqyvFiv09rfRqOxwIq8fve3rcdn/3dZ6v7IauASgKbzwO4CMABQshOQsjr4r8qjed+AO+X7rsdwB8opScC+IP/9zENvhCWKghs+KJxwjxmpvXqvoGq7u6OBMf1IkGHzBZxGj1JH8DFhnySFHer8i5eXmSKlgvNN5iSd7lcw8EXUPG7CHQlOvEX+uixnD3RNYKUHnUP5pNH0OhSCIxkCphPwnyxcNyoU2/KYLtgnt7ShbSOvIMu215EsyIv5iVfrBtQ1sJ3xSuO6lIGTF0LOnPz58nByVgYrdybvwfAfjs+3mxCYBO0XKhLIW3osd+PI0xFRT+vGAjJAuIGQWg+MkYfKnH0Qb8uLWTjpktjI3qI9AxHNwD8HFgyh+kyeKXYeLGjaxiPvnYwNh8Uyk4gXtV8fRZPRfHP3elfu6J4mH9P8maCL8q5tJHIAPKWB0msS2PGxMfPW4p5jfFGlllTx9y6FOrSOhoT0lizCbwUnH/vQTpXarcga/JShhYw3mHQE74uL+9O0tgAiKQVRZ+dWkUlgc1DAO4E8E2w9gkPS/8mDUrpMwDkesUPA/g3//a/Abi6Gu91NIMzNaUEwexo4JNfS30K15/NXDj3VVhVNVEUpQnTlkSiA36aKqmkt1BmlOsc/2IqCxVKsu5C/ioKFrMUz5p6bNLOWy4oRbAjLSYEXoamwZDaHgC+FkZgXSKpKF6pwNsmCFoYmR7m+XP+/Tgx0yzN/w7cmP5GDgYsN8yLayRueFe2XWQE0asYCBQsN0g3yCZgcrA1HoiLliw6FtMG/PPx70HsdWW7NHA+NbQ4A8XB701iqDj++52u2HF8AXz4lY4jfhZx+GLAO5p4uGA5o5amTwbvHB4Jzu+CFb3u+Wc9vq0u8reItw4O4j9e3Bt7jFKK373ZiZ1dI/iPF/ZGNh15y438XllTD1KenOnkwxB9leSUKwdfEOtG8UC5+szj8NeXrRztKxgVhBB8/LyluPGC5ROyfTia0JAxoBESVMg1+d9pcN2Oosnj15rleKE3lXCdEkICVoc1KY3+RqKImTfG9Oj0yhkqwbhVQJTSr07lQI6A+ZTSQ/4YDhFC5iU9iRByM4CbAWDp0qXTOLzpB19oKUWkbPZI4DvTrKmjscFE2tTQ0V/ASfPj1G61wYOGNUub0b5vIJJOKlhuMBEmmbDl/eCEMyBJepZ5jWl0DcXLyAsW0whkU8xVU+yPssvf1Rq6hpShRdkCYVJIGXHzONfzQj8ZqbVBIMQNApuQsZE9YXKxwMaDoYeXJO8Ts6+vwFgiYaHgAj7+u5YdN8iTJzI23Ho9IRWVLzvIpfQgiADCc8yjUSOv8SBSFSXb4ydUv/DvYWvnEM71NQO24wWtJwgZO+UjBhiUUuTLDo5vq8Ou7jzmS7t826WoT4cL4JH6UIlvG2qvws8kBzb3PbcHluPhtstPOuJ4K8WhQZauXdiUwaHBEjN69MfBnZCT0qoAc6jlJpfvHB7G6sXNwWN5y4XtUmRTzORuf38RK1rrmJGeJBTl3dlFfOBdCwCw76Ro++e5G11UOTjbMNqOnxlTTiyVNNsDGg7NLwzg6T7eGZ2betpyBaa0icpbTmwe+sgvPoKzFpyFhcb/QN5yA78g+X0vWNmCvX2FIMhxvelh/CeCis4GQkiGEHI9IeTvCCHN/n0rCSEz3t6TUnovpXQtpXRtW1vbTA8HANsVV7P8kiMv7AiTKPqRshMTRR4aLCKb0tGUNaFpBDlTR9GanoibL9x8YhPHxkunM4LxlAgWnBihHiUhsLly9SI0Zs3YxVj0gyJO10ZKVf316LRFjTFGR9TQMMYm+j2JZdlydZKYrgAQSWUFjI0eCoD5OOXXBUL/CMt1fcfi8DGeTuH6CsLABqQAACAASURBVEuoZNA1xBre2S71U1H+5xfFw0JOXe5HI7JT44W4niVpbDga/c9g6hoWz8lGmyhKDNRocU2Sj01/gbmkLp6TxYrWutg16LheRIR6+AhuvaLINWgTIKaiKN9ksNYe/PyciF/TkcB/l5N9jUkQeErVMTzlwCE2ehWP4+CNJS8/dT5Shobth5mAv+ywbvCij0rG1AKWuOx4OGf5XKxa0AgguYJPZmx4F+0lo3TZVqgcoguzuMmSGRs+9w4V7Zib+ENbHsKX/vglpE09mE/kuRQAzju+BX++dong4VT9ta1aGHdgQwg5AcBWAD8AM+vjwcxfAfh/qz+0AIcJIQv9MSwEEOeVaxSv7u/HD5/Zhf4qNvDzPIpDA6UgNSOnefJlBz98ZhfWb+uO3D9UcjA3lwrSBNlUPD0zVRj2WQWepxUnVz7+lvpUjGIH4Nuv68GFVk5I+zSkDZy6sDFSJcSPzZp6xFWTg7Mwpq4hm9Ij3yMPNLIpPfCaEcclugfLqShZICx28B5VYyMyNkLugwdHlkPhCCwREHpLDJc5YxNqVmQfm4gBX4LoVWSyZHt82Xp9PBDZDzmwEXfWoh5ifmMGhbITfM+268E0ws+TJAD2PBp8DvHz8mB5XkPGX4y9yDGOR7GgKYMPnbEweC8O+VoV3zaSipI0NnLqb6xqrNGQH2UjxFNzcoC/w2ce33cKI7JNnUSKCsR+aCmDsbQcPA0FsKDj+NY67OrJw/NowJ6KqShdIzg0WELnEGOM5Gok8TwG4mnIE+bV4y8vWoHTFjWN+/tQCPFix4uglOKj5ywBgFi3cnGTZQvzGxDqmwaLdtDTS2a50oYWMEFyuXcSZkVgA9bd+wkA8wGInt6PArismoOS8CiAG/3bN8I3CTwawLvRVirmA1hq4Ym3OmPOp44/mc/1SwHF4IRSGtDSbx4YjOhGZP8BcSKaavTlLRgawdxc3NAuCGzqUvD8bsIiCkEqKs7YcJGbppEYgwEwz41MSujZlOA0bPh27SJ7JVrJJ7niinqXjMT28NcNWx8k+EcIQZGpk5Cx8WgkdSNWVXk0rnXJpXSU/GPLtsjYRAMBcUFO8rERAxtZYyMzReOBaKJ2JH2OWP1SlzbgeDQIPi0nHJNG4hoaAOgvhEGIm6A5SZsaEx4LWixLmPBb/WvIEnp99RWigY34u4sLgvw9yqxeJR5THIcGi7j3mV3Y2hn1maKU4pW9/RFWjn+OXd15ACyI42MTxe7czO1j5y7FqYsasb+vEJwbQyUHwyUHJ86vR2PGxAnz6lG0XHT0F4MAS/wt+Xv95vVDAIDFc0LmRbQfSLLsBxijlORRozA2frv9t3j3j9+Ne16+BwubMviTU+bjI1LHcpE1sxzWq4unc3MpHaZOMFQKG9DKwcui5mzAfCYxNjJmS2BzAYC7fE8bEfsALKrGYAghPwPwAoCTCSEdhJBPAbgDwOWEkO0ALvf/rnm4HsWWg2yC6pxAY7rth0fw1sEhbNob1VLzSavBD1LE4KSjvxgx33v0tQMA2MQ4UnZiO6xqMjaU0lEn84LFgio5zQGIoma2yIhpNp7nz4mpKDHtI+gw+O6F++V4HkXZZiZwoW4kyqzoGtt5y0FeyXfpNXUSsCpimozpG0KdTFFgmpJM+BwhrSM+BvgpOCEVJRva8aqqJBFvxtSDKhVu9Q8wRiiSihIX5ATGxnJpwI6kg2qrsPql0nJv0UQtqfrlvavm4bzj50Z2jHVBg0z2+4uW/MRPRclsnuiNFBXTss/L2TpeMg+ElXcNGSOx+zqf9D90xkIsas5E2A9RO6JL5bVyI9SkMvKxwPVSz++INnQVmcakMTdkDCxoCgMbK9DgUbx1cBDZlI62hjQWNGZguxSH/PmIs1NrljDNzfLWOqQMDS/u6hXM+cLfklct8c8mVpfx62TIbzcCxNk6hYljV/8uAMBb3W+BEIJ3LW6KtVvIpoxgkyT26gKiLVr4OW5KwcuyljBQHU8vqNkS2ABAUri9FMyVeNKglH6MUrqQUmpSShdTSn9MKe2llL6PUnqi/3/1urxNIQpj6GAANimO1u+JU4LyBMn/5mp4kbqW6fCDA2wCy/t9VJqFHXK1A5utncP4/h93JFLwtkth+qXT8jj5GDibI7JMPM9flzZgaKwSRWRsxNQNZ6P498EX/EzEATi62PPxZE094mpsOSwNQggJKgBEdoBb/fNjHY9GvGh4V2PATw3IqShhJ8vbJnhetEEmB6eXk5iTrK+T8jwa8Z7QNBYIJLmQ8jhDbqnAgwi+Q+fB1mQZmyScsaQZF6yM2mHxY/Ll0FXbFBgoNubo6wyIjI1wiYW/PROdc5E9EAYP9ekjBzYLm7IszSj6Gwm/rczYyILdiTA2/PwcLEZ9asTrlItAhwXRuOhOmza0gMXrHinj4EAJa5fNga4RrGyrRzal49nt3XA9il4/sOGbAlPXcMK8ehwYKOK3b7AUlcjyXumn7ko2s1EQF79Fft+0rZ3DwXlc6/2EZhvqUnoQkCZ50TRlTT/wTGZsRAb1WGJsngDwOeFvSghpBOvu/ZuqjuoowsGBYmLJtZhSGW2Se+KtTjy0uSNRg8N3lrLPBt/91/ksxpCQegkeS+tY0JSBqbOUBO9w3CLkZLOmDtulVXMg5uWHBwfjnYd5c0fDX1jFXbDlsy7Bjl0IMMSJlxDW3kBO+/BdRybQ0fDOt/6uPRX2bIq0PhDYkWyKfReB8aEbll1zLZOYonB8Mzx+LACULEFsK0zqaUOPeX+IVuZ8FyW2cRDBq6rchFQUZ5rkSiy58kkUNIcLcvg6tushZYSBGiHh75D0vmNhIiZpQWBqccYm9NLQEoIxIGroGOks7XjQ/AqvtKTNChs76sF3HTFYFL7LlK5HAmnbL8cnvocREP+O5depBCIzI6YSOZu4Zmkz2urTSJtaYNVQtNxAHA/whpDsOzzQz67Fk3zBccrQcMmJbTg4UMLv3+pE11AJ2ZQe2flffsp8tPoi3+PmZCN6qbShB+d7xtQigUtbQxrzGtM4MFCELenBFCYP/l0fyd4j57t6U0oTvWgaMyFjI6apOMTf+ljS2HwOwEWEkG0AMgAeBLAHwAIco6Z5+/sKePDl/XhlX7wZJV+AU4YWlA+L6B4uBy0E8gk9kLiluzxBih2iW+pS2NY5EkyCfGL86NqlOHNpM2yXomekHGh9WgWLbh4IVEtnwxftJMMzXu1DCHPyFb8Pbt8dMi7hePr8cXM2h3eGDl7XC516efNHvnDxz5Ux9FiXbTZeL8K6iMcwtiB8LG1q6PLpe0op+gpWUGUQpKr89g1imgpgC2jZ9uC4XqK/R1tDCsMlJ2CEZEEfr3RIYnN4lYrsnSN7rIhMUZL/CgvUQrYnlwor1JLedyxUmroC4qXv5Ui5dzx9BjDWgpcORzu1MzaOEBILePk5YPgBilxFJAZFKcGtFWDnDA9o5W7KSZVzlUIMoqKpUXb/qgUN0DSCJXNyePPAILqHy+jNWxHdSi6lB81i9/UV0JAxgnMVAE5d1IhTFzViW+cwtnYO44S2+sgYNI3gmjOPw/nHt+CqM+IKg4tOYExbkhN0W30affkyekeso8LEbbZhXkMatkvRNVyOMJ4cTTkTluNhoGgHHlGj4ZhhbCilBwGsAfAtAP8HwCYAfwvgLEpp95GOna3gbMkz78TbE/DApjFjJLY+eODFvcFt2QJ9UNAOyD4Zok5j9eJmlGwX3T4jwyfhTErDwkZGDa/buA/PvNONpqwZoaz5giyLdScKngLqL8TZJ7FkWK7a4Bcg71Arfhe9+TJMnQR9ZhoyBoaEwMl2wyCCEObvsGlPPzwvdGkVGRtZPBwEL5JJn+OFkwIhBEvn5rCtcwQDBQv9BRtl2ws0DTkpdWMLbA4gMhFuTH8DhALMPT1MmCm7tdZnDAyV7FgpOMB+Q8vxgqAqKNmWBKZhmTLTFGkk2iRTNv/LpYyQsfFohGEaL1bOqw/62IwHKV0DIaHppB0p92bPkTerJccNFu0IsyLoc3g5LA/+nEBvFBqXiSwgD7S5YZn8uvx8k9lHMbDhQtpKcWAgTEuL5eI8Lc0/66mLWIn1Ay/uheV4EW1EfdqA5XjY0TWM3T35oBxbxBWnzseSuTkYGsGapc2xx+vTBt69siXR24eXaic5LrfUp5Avu+joL2B+Q9whWGFqwf2a+gtWJL3MMc9n4vb2FiIsn4g/PW0BFjZlxuWNNisCGwCglBYppT+hlP7flNK/ppT+iFIazz0cIyCC4bpMEfKAoSFjxiz55Rx6Xgps+LGLmjPxwEbYcS6Zy4KXDp9yLtuMYkzpGppyJv70tAUw/Iqhq9ZEd19Bt94qMTa87HhvbyFh9xoyAqJDKRBWNhFC/N1meLEMlRw0Zc1gZ9GQMSKMkCMEJ0C4yzg8XAqClIwhBDbC+/L0GBAKsXlprO1EHYAvPrENugY8t6M3MErjgY0cFFnSTknU/iT5e/C8NheYy5NRa10K/XmWF5fLrvl78/Mp7L3ksxTSYp7U6dfzKChlO/Xd/btBvkrwZt+TEY3NRNIKV52xCBecMP62cppGgtYJluuBUkTK14E4Y1OyPdSlmROreM6JjJuciuIVUKagzRL1cCKFL9rQA9HzjbOPQXsT/7u+4bylWNiUQW++ch+brqEyjm+rg66FzrIAsLtnBPMbM8G5tLKtHucdHwaNoi8M94p57LVDaMiYWLs83lqPEIJrzzwOn774+AiLOx40Zgwsa8kFxnwi+LlMaVRYrDB58LWGIpkJfGzbY1i/93cA2CYrqZFlW0M62DyEztHR1zt1USP+x7lLx3XNz5rAhhByFiHk3wkhm/x//0EIOWuqBlfrENcZWbjLqeSGjBETAP+6nVUr8cVRDgS4JiObYg0DxZNP3H03ZEw050wc8JtIlhwXaUMPAoFTFzXiM5ccj5suWB6bwKoZ2HCn19b6FFzfZ0cEaxXgLzRmtKFhWSjrzQmqfgAoWS6yQv6/IWOiZLvBblj2ffmI3yoiX3ZDk72UFrABZXn37V+8XFTNNRu250UCpqasiVMXNWJ3zwg6+otIGVqQHuMTBE+RDRbtgGECQvv4gu/4KXfKThka6tNG6B8h58X9br4Fy42Vz3K2SD42YCl407ug3FvDlu4teLv/6eA8EhnAZ/c9CwDY2Pk4Bgo2nFFSYFMFnlorBak19jlGa1/AO5abRtwk0ZAZG6EBoKGFPjS5lB5Jf4oLguwZI59vIqPDX78pZ2J+Ywa9I1ZF+jXXoyjaLuY1ZFDvayUAJpA+OFAKerxxvOs45gUj767FxpOrFzeNuvPWNBJhcMcLQgiuPWtxhAnqK/ZhR9+OQJsDREXHClOPq/7zKlz3iw9DI4z1FudVjrShB0Jx/ttPJjiZFYENIeQGAC8DWAjgcf/ffAAvEUI+MTXDq23IlSUiSrYblAvbrhcJTnhvJE4Nyvl4vtPmi2LEJMwLGRuATWSdgyFjIyvhM6Ye0XyE91dPY1P2/StOmNcAQoCOAcl7xw0bOMoLie2GY5YZm4LlRISo3I6fe9Ww1IBgWicEa3mLff8pnacVoo0URUv6lKGhtSEd7JLthEnhxHkNsF1Wwt9SlwoWRlPX0JAx8MLOXjy7vYfpC7JRfxaABVuOS2MtBvhzeJVLWqKIRX2E3L+Ft1zYzdNYsZLtaJm5qROcds9p+Jc3bk701hkss+LGRY0tKNkuDg+XIxVgUw2uDxGdn4FwAyFeB65fCZY1ddaIdLRUlGTOKAY9AGKu04zCj7I9VnBsNGVnCg1QSzZj1FL++QDEmdgjoWiz3mW5lM4CG/9YXtm40u8DxdGQMfEXFy7H1WceF7lfDIyPa85iOnDKv5yCE793YuRcHS9jc9fzd+FLf/hS4mP9xX7c8MgNGCgNVGWc04HbfncbyFdnTjhdl2buwbZLE0u2eeDLf59jPrABcxv+MqX0ckrpV/x/VwD4MoCvT83wahvRrs7xwIYHFZRGd5srfcHe+ce3sAZ/o7A9fEceFXpG0xnNOdNfNL1x940C4nb+kwH/7A0ZA20N6aAag4+97LjBhJtLSdS/kAsWRauUUhRsF9lUeIryi3GkHFbOiMyKmHbghoRhdVJUS+G4HtLlMlBgwczJ8xtwYKCI4ZIdaTHAcVxzNmREJB0MZ3xe3tMH16NBKT4gVBmVHcZcafFLLtJo0A9mP/KLj+DXW38dtFVIet+MydyHOdMUpKIklsKVUlH8uwMgdPolwQLSVsfSHCXbhTeNgU2DX/ou6qPEcYubA+7XxL8D8Vp0XA+mEYrKgXCzYEvpS9byQvT08QTmyz/Wb7ya6jyIPz93KfDgg+xvQ4Pl8io8F2m/Ukg+T8cDvjlpzplozBroz1t+g1gLGiERqwaO5lwq8XrnzTDlHlkThe3aOP2e0/H49scTH+/Kx83gk8abhC88+QX807P/lPjYXc/fhZ++8VN8/6Xvj3+wM4zvbvzulLzueKqiAPabHxwoxVJRJYcFyOcsn4NTFjbg7KXsGleBDdAG4OcJ9/8CQGJjytmOJP8LDmZxH5aUihOvRtgEVpc2oAu9hDiGijbrceQvZJHARioL5izGuo37sLsnPy5jJXY8ayUwnFDFVCkCXwRDw6LmLA4PlYILsHOoBNulwe6xLmVEWieI6v2c/5jnUWza24+y7aGtPpycG9IsYOBjlrvQpg2ecnJ9Q8Ko07IYfOZ2bscH330C0Mgo9UXN7H16RiyU7HiAKLoby8yJvO43C1UqmkZQl2LVXI7roblzP3D22fiP//oGfrj5hwBCu/OUoaEupWPEGsFDWx7C1Q9eHdn58kX67o13Y96d80ApRS6lx9xC4ywFhV4uoePlJ4LXCvr6CIHyweGDAICWLNNllGx3Whkb5unjCBVtssYmfO6TW1hTx4LTj1e6fhsEGAAXcIdVXmJ1k1wtomtarP0E/335//y7ati+lT3ph+x3M/UwFVW03YBdlBuUjgcHB0ow/IqnRc1ZjJQddA2X0TlUwtw6s6Lf4AOnL8RfXrSiar/b4fxhvNX9Fj7z2GfGfO6lJ7cxwX8VNTZjLebVBqU0CARqBeNtODmvIY3Bog2Pho0sH97yMLLfyOL1w6+jOZfC+09fGGy+VGADPA3g0oT7LwXw39UYzNEGsXpJDmx4KXJgAhYRroaUdhJjM1i00ZQ1Y14ZAOA4Li77/tdgbtwIgFUiAKE+pJJu3Y0ZM+aDM5FqDtGiu62elRzySi1ess1Fjbm0DtcLWyeIO4tcWodHKf71v3fi2e09WDwni1ULw8/z/7P33mGSXNXd/6e6u6o6T57Znc2rVc4BIYQwIDAm2CLZYIINNjY2AoOw5QT4tfFrnF4wlrEAg1/ANiKYIBBGEiIogISE0u4qbNDmOKl7OlZ15d8f91bqntXuIq1Z+fee59lnZ7qnuivce+73fs/3nFPO51AUkY0Wlm5P7r7DkJNheXQtt6+TdLqD9+X/5/3iB7kghrHn2VYPPwgiUJm08PMGmm32hfP6d6slPSe76gas+9F3sTY9xK8/+AHe/l9vB+LiZoLdUXjD194gzjmXTy3C4fe+59b3MG/M4/pxqC7ZuTsEQCHz4XoBL/r4/+Zz73959FlR0cAg1NhkeOjwQ0BcQNC0PVSzyxlXvxU+8pGB+3FM9o1vwL59x/Sn4dgI51UILo9UxwbgHbe+jus2Xk3diOt22l5a/K3nYl2X2/eemlFSoeAku9jfnyyaGXIuh1WnQfYlkwxTOE46VjpJ4Mms3XOp5HNkMgqnTVXQ1QxfuG8fe2sGa8dLR/+AhGm5zNPauiCriOs6lsX1wtUjvOvKU5+W4nw/qwJ/7/v++yh8qPCUwI0fPD3ZpqG1LMFQHkk8HNpIolZZOA5v2n4TQDS/k/b/gA3cAvyNoiifVBTlrfLfJ4G/Br6lKMprwn8n5lRPLrNdn22z7QhYJHeMIDJrctm46m1SAyAEmWExtcyA8Lgnq4n218oA8JttLrjpBtSfuwKCgOVDBV585hSvOG8573nRqZy78tgbzA3J4nChffXBA1x/+47j7m0VFYDLiS7NGUXhGw8fpGO5ccq23MFFFWZtF98PUsXwVo0UGSmq5NUsl6wd4ZcvXtm3u1Yo6zlaZqLfSR/ImKrqHG71BnpjlfV0RlXKQRgGBVVoG/ZJnU2/1gXinXg/KzbZl9pazefwA5+HDj+EH/iU9Cwdy8P1fSa2bOJ769Ofe8pEmTOWVbjyjEl47Wv5zpb/AuDSFZem/k7PZSIHB2B5VnROydL3mYySEmm7vs/qB+9mTyKzNwI9cpHOP3APGw8+CIAfOCiKCKWM7dnB6G3fhmuvhTvuGLgnT2qOA69+NVx0ETvqOzjQOvCkfx6CtLBVQt4yods9Yh0bgP2tPeJ63DRADwsOgtBepTU28XvZjEh9D0X6pu1H97JfY5M1hJaJ228HQsDqyeO81HFaLnNcbGjDtKOmoHk1y5VnTKJmRTp2f5Xm/27zZBedp3uxPpodLRPoRNn1918PcHzAJgjEeJfmeGlQ6/out+++/ac6n92Lu3nfD5bWIfVbMvwYjqfwuWWUweX+6QI2/92s2tHseIDNx4Ax4O3AZ+S/twPjwD8DX5X/vvI0n+NJaR1LLK6nS4akX2MTZtYs1UYg6VyXYmw2fOkznP93f0Y2SAs8AWgkOko88ggA564c4rSpynEXRhsqCOrf9wNmWz0Oy3YId20/vrJEcSdZoQV41YXT2K7PjQ8dYG/NYKqajxan0Pkb1mDF3ImKzlufu463XbGO5506seSOrVoQLFOymWHSllXzLLQtHC+gnNCuVAtqFA4CCJL3dHYWRVFYNpSPMsyWyuoIQVl/dtILTp/gTc9ezS+et5zzVw2Ry2a47t7ruPhTF3PjlhujLBfXCxjbspnHEoFbz/fIZhRedu5y1o6XCL7+daoyU3hFRQhDw3DURH2Gz//pK6Jjbc+OmLB+S4qlvZ5NvtVgVyLzt9WzCIIA34ecaaC8+aVYhNolRzBftodmduODtm9f8ruOaLMiXEStxqkfO5VVH131pH8eAxsbLZchO1SFiYmYsZFTLHSiq0eLoISAZelQFIiQVgjkksJiIFUKwHQ8fBneg8GsqFwr7hxTa83Stg9juyI93UgAG0VRBopJhub7Abdvm+PWR2eiiuOW67HQtlmWWJTOWFblnS/cwAtPn/yZV/ENF2lvoE3gz85OJMgKAc1xfceb3gRjY9Gvtpeu5/Wum9/Flf9+JVsXth73+WyvHfu8SzJ1o1H6vZgvSwGb/vM8Hkse6/jHzk7+d9jxFOjLHOO/488hfAZaFHeXmQD9wEZpNDnly59Dt63U30O6/042owwwNs/+x79k7Zc+y8h/fjH6+/hzExkC5lMrITRUUPH8gI7t8tDeRQpalrOnqzRNJ9Ul+2gW1gYJF4w1YyV+6fxpFjo29a7NipE4OyNcpFs9J0ppPZ4S/NW86HcS3s9+9iS50Cd7n5QT2Um+H5BJ7K6YF0Bu+VC8sCxF5Uddo/vYHDWbYbKa59SpCleeMQXA/T+5EYBNs5so6bkoBVNrNtiZABh1MwFUu10OV6Amy5KEjuOVF6zgyjMmqfzRH7D5iR9Ff265VhS2OF82MuzYHZQPKtx9+AvR+WZq86g9kwOJWm2259C1BYu09oEfMldKvmeTVzN0LRfNSLB33QTIORY7JDQ7x7qXC0M5i4ZNXs3SyMPku0wemhWR7rDWTwhq14wVo8XHdMQ8E8X90uGmopbDkGPN9dOMTQiAPD+IsvVKfSHHCEQngM30dav5pa+dDwiQLmqDHJkhDG3HfIeN+xpsOdziS/fvp2u5HG6I8GdynsDPLhTTb+GidbRQ1NO9a19SMFuvc/t7rkL73xp37Lnjaf2+0MLrPS4244tfhHY7+rUfMNzwyA3is73jBwCZZL007+jg8sozJrlg9TAFy4AHH4zmSLLuGnfdBYrCKz71/OM+n9CSvstyj79u04m046pj8/8stpClCBfMfm3KOZ/7GOf87Qco3/A5IM3YJAWZgrFZemdgLewH+oBNPdG+YWGw4vHxWFhvpWk4HGyYrB4tcum6URQU7jwO1sZZgj1ZM1aKyqqvGYtXzUpejXQyIUO0bOjYszeGJPMSLtr9jM2GyXJ0bycTO+CokJ4UxPYqiZDdnMjqSIKipcSPF64eZvlQnrOWD1ZzTdkTT7D98R8CoitvOEaaho1qdNgxFYOmrpMACwcPsi9xWpZnRed1/qphmJnhidH0+6Mljd/5uVOiDs3hjvD2A1+ItD+BzPyqlWLH5vkOpqyGfOoPv8PsALDJ0ukHNocPP/l195u8r/VjzDoONTWWI9K4t47DfAnec9vb0XKZKGwag9ps5LR7rqxB5AUQBIz96PYoNFDU4zYDttsvHo7F/aHAOATLuYzoCRUyX1o7Bja2Hy9cYR+xZDiwnF+asXn8UItKPscbLl2N4/n88Il55mQdouOZB/+dFi7GR2Mwngqj82QgIhWK+shH2PSTb+EFHl9+9Ms/9fc91XM6mvUDm44t5tGTMRt/88O/4ddu/LWB172b/yv62dk0qJPpt/NXDfPC0yfhla+ESy7B98R1pBibW24B4DEzroB/vCzYfGc2+vmpMD8nwo63QN+FiqL8vqIof6soyt8n/52oEzxZLWRoRPdoZQDYDO/cxufPgxHzWtp2ra8BY7pzcaqOjWRhHpiGterfctfhf08dm12s4SmweQr8hafWySJkJfbXDdo9lxXDBYaLGhetGWbHXId7di4ck5i4P6QU2ivOW85l68eYTjjspE4mXEiS6c7Hcs5BEDfInPzd34Qbb4zeVxSFd7zgFH7reetS4uFiCtj45GwLe8VKdoxCIBfgUCtTyeeWrP0zVtb51UtXH7WwmTl3kE2CuKFttyMGwO8aKL7PjokMqlwDTCfBui0u0kpEllK7IN+HrmY5JAAAIABJREFUBx9koTj4fjJUsa8phLqTxRVR9WC6BlYWumrAlMQpXiDSqh3Pp9ioDTA2utSIaF15QKUSMTDHbB1x7KNHypm8/Xa45pro1yRzt+EH38KQ+O9Q+xC5jBKFEZP6qtAZW64tNVs+Z/zgW5z21l+Bf/1XQIQQbdfHkf26+tO9QWwewnmYbKeRTOlWO7G+KWmPHhSAJwlsKnouYgeTttCxWDlSYNlQnnNXDLF9tkO9a1HSs0vquk4GCxetowGXpwIEltKzpBiG0PJ52pKItVv1wfefRktdT68Hu3fz2Yc/y6aZTek/lIySlXh8RwIwTwYA3veD9/H5zZ8feL37yY/Fn2sdI0vfakVasEBGDVLAplJJ+Ro4/uc3356Jfn7GAhtFUf4IeBD4PUQm1PMS/644ESd3MlsINu47+EMymWAgZVtvLfJHPy9+3tq4K50anuiDkyzyBRDUagB89SwIFNiyeGfq2NzcLF88F85/B3x85ltP6RqqeZVcRuG+3cJBhFT4+auGKes57ttVX7LBZ785sltsfy+jyUqe55wyNkCpVwsinBRXUT52fB2yTPNtC9XsUvzaf8Jr0np1UTQvZkW+s+M71EyxKJu2JwqtWT3+8+Iip74bMvvfBghW543PXs1rLlp5zOezlM0e3I4rnVzX7kbATTO7BMBB3eY08ZjTDr3RiJz2iJ2NGBsAmk3wPOolhbJ8eSlnsntxNwDLyyswZKffwDCi8NZyyZZ7gajX43gBhWadxfNOF+foKdiezUhRVJGONDannXb8jI0MXX3uAvHrVGkq/f6VV8J110WZaWpWicbQqV/+bCpk13Jmo/FiJcKQvhQN+14P2xPgZfmWjTgZ+MfatyOQFh7nuALIHdzxEHPduWge3nDv3kTxSwXP97j621fTtPfHjE0iFJW0XfPiOst6POZKek5UjE5kzO2tdWn3XCYkgF4uW6bsWuimijqebBYu0kfb0S+5MPaOTYCbAvh9lgpF5XLRWF5szi59wNNkqeu55hp2Xrye37zpN3nxf7w4/YcyBPWqX41fOtJCb/8UIZtuYmjYmWNkVebjTa8vN8spP1yrDWw4jhfY3LnvrujnlK86Cex4GJv3Au8IgmBdEASXBUHwnMS/y0/UCZ6sZrs+2xv3cNV/voQvP/EXaXASBFhGjcMyU3lve2O6rUKjyfCubUDYjybB5rTEJAlDEqbbTpWL1+dmorDBo71jS6M9kmUyCheviVePMZkqWM2r/Nbz1jNW1iKa/Mks7I90rJqAMBtLVCRWjkv0HLJMCx2LyvzMUf4a/vWhf+WlN7yUn/+8wN6mI3o25ewe9yxPNhsVC9BUNR+lfh/NNs5sXFJX0JqJ6V3DMSLmSDW6tHXwlIAVcvNvukszNuPdIM3Y1AX4XCwoLJckylLOZOfiTgCq+TKuLNOvmAY1GQ5aFjE2bszYNBfpjoiikSOWgu3bUVXjnNUjyGRg7dqfCtiYOfjGGeLXofwRMvbkwqAocZn/TCbD26+K/+RQ9/EIeIQFHotalsCSrFW3KYFNQMZ1+diz4b3et/nk9/8urusjw5CXPedsVt5wMVMfnoqySFw/iLViVo8Htt/OJx74BJ/Zcm3EfGmdFs7QMPYRiJUwQxKICismdTY/2CqYwdWyt9OEbHNiOX6qqOPJZpF4+CgamwH9yAc+AIUCLB59c7QUYxMutKkFt16PQpt7OweP+rlPxVLfe9993Cf3OwvGQvpeSBBx66nxSylgk5g3dqN21O/t9ymdRIjcUY5Rx2TFvsH//neBPgasXueRdWIhefe94qXU9bZasGfPET/e6Da4+9B9rJWP9hnL2Mi//f6JOpFnmjmeT9MWO4a7Dn0xFU5y/YC2F0/munUootF9P+AX/+RtXPJLz2f7wjb+/v530E3Qi16zSb0AXzxX/N6yZ3Hc+LPVhXkWRwViWnRjsdpPa5etH+Ol5yzjTc9ePQBMhgoqzSW6dfebY7v8/N//MTz44DF952hJo2O5dCx3IMPoaFbWc2i5DDPNHpXZozu2sKjYTHdGdg/3RSjQ6rGzFDvTFMA4Bvvm1m9y4b9cyBce+cLAe+0ZATiLjkLX6VJQswwVVDSzy6KMyk3LR9cfimpLHzbR8dPOol4X4aScH7EuSwn2dtR3AKAoce8qDDNaDEJQ5PoxY6N3WhjFLNlAodzzsW0z0rtkHRt0HZYv/6mAzdfOgkYBJvzCwPnedgq8+TUIJyotDNvlvPTusWnPRnOsaYr3qgUVTw4fFxdHhpsKrQaHZWsl8+CeiJXZW0+3+gi/L+xxZHs+Qwf3MjwxgvsSQbdmFCUCUlq3w7cuGmLZtfHxb/+59awbL3HRmpGUdqfSV8vG9wPaPZczl1ciLVdS3D5e/h/I2HzoQ+L/I2TTJdOfU/Ov3YZXvAJ77y4ALDPh5xYXo7G82dj99BbS8zx+5Q/izL3U9UxPsy1OeuL3bvm9+Je5uRS7CH0LfcIvOotH10X2+6JGSczFs+fAVo6RsUkwZeHq4SdDqbUas8vEJFkticjU9V56Kaxbt/RnLy6y9bRR/MDnMlnB4ZkMbD4B/MaJOpFnmtmunwICdsIRu7ZLKxMPLMczItbF9nymt2wE4DVfejV37v8mO1uPxse2OuxICETFsfHuIGt0aRbFQJ/znjqwyWQUzlxeTQltQxspajQM56jZDrkD+zjt1q/DJZeAe3Q6M2zIeahhogJcf/0xF3FTFCVaBKpzx7fQFtQspuPh+CIUVVfjHeaAg9y1K7Xg9ttj848BsHl288B7rQUx25d1Arp2N0olz9lW5JSnbXEPUk6s00kwNmDZadBzUGqW10hHlGJsXBc+8Ql21gSwQQKbds8lkwhFhYxNgNA4Oa5HzrboqgGlXAHdBfvQ/gSwcWJg02gcXyZet8uOMVACeEVjYuAe/8KvwQ3nwY2Pfz167YoN4xS1LOryKVY3xH3IBRka1kzEbLZ7DlouI0JRcgoGrhWFogrNeqTPKXiZSPt157alNWkXSuF1w7A599av0FXjzDQ1E1fKzrgO/3pWl8WEGLqgZXjVhSt4/mkTqc8MGZuwls3jh1t4fsDKkVgkFTKmK4YLnLdymJPVnDnBjPpHY2z6dCUtHZS/AOXWy5YMc9y1Nw5lpAD+u98NN9+M8bUvAdDb+ED8XqdDvSL7HOHx8OGHj+dSntyuu46binGtpdQ5z8ywLVFO6BMPfCL+ZX6eN/xy+qOSC73/4P3x6/YRgNju3dGPyVpVAPvzFmMGDPWWADZBQHDtHwx+ngQ2LR22yvN2HvhJ/H69zsKQyrCTpSAvM3W927YtfZ4Au3ZRy4s1YZU81WdyVtQHgYsURdkou3p/JvnvRJ3gyWq256NmYk66bcXZI06nw7wMF011wLPb0W4zGVba2RA7kmavHokM/VY72tVfth88344ocoBMr0c7Lx5bI3hq6d5Hs+GiKtgnmd1h2h5f/Mm+SCwZWja5k589cty7ZbVoW21WDBdE00XTYXrLw/CudwkF/xEsCAJu2HxDtDCOlcTqP7Qgvrergt85OsjLa1kM28XzAnK2hZmLn8VAjP+UU+D884/8YfI6lSU0BO1F8d6yNhhyXJT1HFnHjoFNRqCU1GJvGByqwIhSpGyDlTynbjeqQ3OWXJ9Tu6RbbmH3+65md0M4SD8Q7xm2h9IbDEVlMh6W4+Mb4juMXEBZq6B5SMZGittdGzRNABs4Ptam22X3eI4Vtk6lbQ+EzkIB9Wvue2/02qrRIr/z/FPQOm1yep5fOKizzC/QsGejzELD9ihpWZS9eyNg43kWjitSvfVui45kNW9u3D/ARHp9JGEYKlw0bFxV59yr4ZWi+DO5bDbKpMs4DkNBWnF5pJ1qQbZTCTP/7tkpdurTfY0pf+60CV73rFUD2X0nk92w/auAAKhPZqmF0bb5ylnxr0s1stxai2u6pObBJiHODYG8RQJQdTrUSxmeJcnacIPxtNjnP8+KNlTkI01dT7fLtmVHaBORCCGHYzo5LroPJ4DNUlqie+6B9XHVzraV8GWex96yx5oGaB44/cBmfh73o/8w+JnSL73wHQW2SMztJodYrcZCSWHc1Qnd4JIam6UydufmInAfJiM8kxmbDwEvARxgBNE7Kvnv/1fmeAGKEk+4thUv9l67w7zcmK1tgON1o91mmNHx+fOgJx19y5mPAI/fbqfCBm7gYDrxgMv0TDpyEjWUE4uSQ8p8txRH7ql1mWn2+O7js8y1Y0ekziSyZeaX3hUHQcD4349zxWevQMtlotLfY7slTb1p05LHAdyx5w7efOOb+cPb/hCI02Lz9RqGCuX3w/+65Y+Oej2jRY1ax8bxfXI9EzMTP7+UY5UM1c3qHpQPKiwYg/Sx97F/Ej8skSnUagotxfKOEA+D2MFnbStyCNOa4LVTgMo02T2qsE5fhu6BlTwny4rq0Jwqw/SpXdLjj3PfSiE4B6GhURShR1EMM2ZsjDAbz8NyPTzJwHSzHiW1KICN50QZSlnHQQkZGzg+YGMY7B5RWOcPkW8Z6fN1HJ6/R/x4hr5i8Nhmk14WChmdMUfFcFpROLdruazd+GPMU9fhSw8mGBuhGVJNg54M83ynu4mpZBHDIEil1DueE7Er9a5DubHA7kRYQcvkCALxnVnHpqF6nN/I83tzgqY/0k5VURTOnh5i20ybh/ct0rU8rjh1/Jj1WyeT/dvOrwHx2EpacjFMLYw338xMOf61n4XgnnuYu+lL0a8p5lKOsf1yvPcyaWBTywdsWFSW/tyf1nyf4JHNzJRh5VKhGcPgQPUIYfNeD1NiHkfudZMLfXN7zOrazhKMzb590fHQ54s6HeoFGDdA9ZdgbLZv57euYtAksHloOL6vKWBTrzNf8BkP8k8ObJYSf8/PR5vvKZlb8EwGNlcDbwyC4FlBEPxiEAS/lPx3ok7wZDXb9fESGpeWHU8wvxUzNmsaYHtmBGhs18dVVX4tkchjOI2o54zf7sTApi3o1lai7UGmZ3D7pPiuRubEDqZl1TwTFZ17d9Xw/IDFhN5m8/4YyGXqdcwcPDJJVLuk3zbNbsLxHTbPbsb1XcZDofLsIboq/MXzA7qz+5c89sp/vxKABw4LSvpMWUem4Jh8WMrWP7vliwPH9Tu9Cdkgzuw55BwbI+MxGogZmnKsUnj3f+Rnb5zZmP7ge++lISf2IbOPofJ92obQVy3rQNc1CIKASh9js0IbH/xe0+RgVWFVeRrNA8tJA5tGnzNJMSCHDkULyTKliuPbFFTRNyvbM6kVRO+pobwIeSgZTzQc7QrdyY6gTkUrC2ATOFG6e6SxmZ4WH348wMay2D3ksy43gd7q0nPj5qh0OpTksF5mLbHYN5v0sgH5XJ5RS6HrNqJsKMP2eMG73sT2hObB9yxsV6Rsq6ZBp5hsMQGve5bQThQaddbHGeZ0nW7E2LRMh6KRZv5U2Qiz3XNxfZtbR2Y4XPI5fUac/JNlg4RFE+/YNlgA8pliT7pguS47d8RshOMm/nZ2NlVCYACA/PM/M1cSrCYkFnPPg7k5ZsrwiEyisxKLuWG2qKsOp3TEmEmxG0l78EEROl3Cnqg9gfJBhQcPJTSBc3N0Mh6mSiTsTy70Xs+gph6hBo1pskKexh/eLf5P3rdWL1H/aCkgnMkwmwCBqTF1+DC9HBRcwdjYpIGNvfUx/v2CJc5pCUCSEh43myyoDhOUlgQ2viKBkDGoS2N+PvZFT5LI8LO04wE2JvA0BjSf2ZaZneHsT/xV9Hsrwdi4nQ4LRSgEOSYMsIJeqkDY/aeOpT7LDeyomFfQ7bJ/CLSMFoUNFs14cFmuSV2TwtCce0JLiyuKwrPWjmLYHrWOxULHZrSkccpkmX0JIWa21eRPXgznXQ17Di5NDf/kYBzfbfQaUR+TUnuRv3kefPAF8G8/WIJSTZiaEcdkMwpvuXwta3WfP3+heK/iD9LEm+5MF/AK64x0m+LGmorLmCKoDNNOFMprt7n+WXCH1M6FxbUiS9ST+VbrwbQGaXaWlvQUUx3w8HF8h9VjRSY0YvGwKoRU/aGoZl5hZHyV0LoknWCvRzPU3+QEsEuxBZ0Os1NlVA+m2j6WazFS1Kh1LZEVVYSxwhjqhRcBkFcD9tdN7E4XQ4UH3L28eNULhPOUWonfvGIdpwypoGls0dvccC4Ex1PLxrKYKXisKC8n3/MICGLn2enQlTqYpr3ErrvZpJfxyGtFRg3o2I2oKGNXinmTmgfft7E90d5AMw0eLcfPc09jT1RLafXGH6e+pmN3ot5OAHkj/azDjL2O5bKvKJ7VnGqjL4hFs3/h79rdaLyMljR+84p1VAsqExWd6aFjrFR4Epmx9ZHo5wHG5j3vYf/L4oRYN3kvms3UYt3s9aXKb9vGXCkWrkbMZasFvs9578zgZCHnQS/BjD+g1/AVuGyxRNHPLc3Y2LbQ+73kJUte0ze3fRMgLfw/cCDaGKwMgU0iy6vuGwQKTBhLsDamSc6H52un8Xopl0wxNgnJwH8cujV9rO/Dn/85f/bC+KXUvN63j14O8u7Soaj6E2mmO1oPTHNA0OxmpJ8KArAsFpQe40oMbKKsNsPg9b8M6v9i6Wrjc3NsncwwbMJwb/B6TwY7HmDzUeAa5WSp8/0zttzB/exMiHyTEyxot5kvwli2StGBXmBFmRW25/PaV4jQxhu2qWhZDcfvRc46MAy2jMP6ofUUVeEIG0Y8MSxP/LzeLhEoT7JjeZosDEfNdyzmWj2mqjqrR4s0TYeGZHCynTYPy0jFXYsbl/ycXYu7op+7djdqrVBs1PnRavH6ocWlGZtxTczQ2W7MjoyWNEgsQuvcwa7mC7d9A4Az52HN0Jq4+nBT3DMDh1FFbCt7ZmJBa7d5V9ySicPtPpZifj4K7TQCI3Vt7NtHS4eSokex+q7dRc9luXxFmXoBtIzKaF5cU38oqqUFVKsT6FkVK0jsEC2LZh7KaoliRQy8lDNpt9k/kmF5pkq+0cHudZio6hxq9FCtHgulDGPFMbSCuE/jFdFJvdtoR7uv9aPrU8BmqKCiug6BrvHz3349b34tbOpnr57EHMvEzUBxfDm6XJsiINduR/U5GvTtLn2foN2ihwA2I12PjtPA8QLmWj3crrhnScbGcy1RhM9x2Vc02ZeLHfLbbnpbpLPJt9MLbCjuDlkbvZsGNkO6iFv1HI+eIu7LZ7xfRGuJz48WoSCAlSu58iPnUvmbSlQocaig8tbL1/KmZ68+7l5uS9nWha3/rQ0Hu8+55MhvfuMbqarSrpMYj40GtaISLZopALJ9O/UtDzFXjvViEXNpGHgKzBfEgRcfBisBbOYC8XxWBRWqfo62vYT/+/Snxf/33z/4HjEzkcskNkNzcxEQC9kXtyPHShAwnxHn95GNU6xyiiwrL4uPNU06GlQKQ2jyVCOQ4Dg0c/H53954OO1Pvvc92LqVmxOp4in2Y/duTAlsVA9s0gLu+syeJa+NXo8XvaXvusPhZ9sEwIJiMJ6tDDI2c3N89Wz5t0dgbH68JsML9mWief1MBjbPA94E7FEU5RZFUW5K/jtB53fSWnvxEJ8/Dy6UY7RttyIBsNfp0sjDsDZEyQZbcWn3xIO3XZ+GHA0rFxzy2TyOb0VFwALD5FAFVgytRtPFotuxRSjL8wNsX0ywFb6YhUuJ8p5OGy6oFLQsd26fp91zmazmozoc++oizJJrt0StE2DGGAxF+YHP3939d9HvHbvDuvESZ09XGTaabF4ujj3QHWQDgiBgsSdCOzOddN2apLOsBYM7i/mOOJdz5kTtiVA3YjQ6bJ4CBy9ybqaZcLzttLNM9XMCMAwWirGYMnVeBw/S1qGqVSiFwCZsm2AJjc2oPkK+KFiXZCgqMLq0NJ+qXkUPslh48SJmWTR1sdDqq6W+I+kA2222jLicMXm2CGMdPsCwZMVyvR61kiIYm5xAE2pWtiJodSNgM1wck6GotAj0vkmbg22h1tzViLM3jmYhiClMryEvPzI6506HTghs+kOq7TauAr4SkNdL6KaDLReKL/xkXwROto3Fz8DzTRzPx+90oy7mn5T1KytaDHq1bptCAi/eukPsoEOg3XHT8ykn2zJYrk8vI35eU1mF7gQD18PBg/zEFvfnuzu/G31GNqM8LX2f7j1wL2defyYfv//jS77f6DWedgbXSJTXWd3pY0UrlRSwsZNZfI0GrWKWNfJ21tuJkO2+fSJsDTxX7mUiwGsY7JcaqE/fJBb0XmI8dn1xv0tqiYqbXZqx+eM/5reugte+bulrCmvQpIBNIy4REDM24aC1IvbjVGWMV8+NppnWXo+OrlApDEfAxg7HhWlGesvQUtlju3bRyAttzplLJQU8/jg9FQqv/hXB2PRVf653xSb5xTvlOYfgxIx7w730Cfm9QXw9LR16uExqw0sCm9DszhJFKefmmCkFrHTy0fU+k7OiFoCvAz8AZoBa37//0RYEAd/adIh7nhCjb7G+F1OFN0qm1nTb9GSLgKDToatBSa9QCsKmjx1cz8dyfa56Qrz2gbugkNVxfSsSFwemgaEpVPQKuia8hus7tHoOru9jBWIArVDE7D/RwCaTUXj2ulF82bhzzWiRkaJKJZ9j0/4Ghu2hdtocGhJDadYaLHMeTr7Quk6XSl7lJWcvo9NbZFEX1z7bGzy23ZzDy0DBEexUcrfaSIQw7tfm+czD6eS8haZAnWfOh+BCdlNud/i0iMhwOBAgJtTFANBskk2sD02rb3KbJvuHFTbI003tGtttWjpU9ArFjFi5DUfueiyR7j2SHyZTKqO7acbGtLr4ijhWD7IESsLZSI3NUH4Y/azzxEsJ5+p32mwt9zhrzcUCnLg2w1JAm7NM6kVFMDY5Gc/KyP4xvV4MbEpjQqCYBDaWxcFyfM9/4O/kWC0EbfnxZeijE/Kcreg+RaGobF9JgWaTuyWL18lnUU2LQHYeDwLQZT2OQxU4SxdV09xAgP+gHevbnncgw3O7Y6nFT++2GTNhjStWsWu+cw2Wa0WMzeZi2pW5D4sQas/xMOU9Kw6ND+5UFxcjQAVLhC+P0Z5sgQjDuUuVGNjf3M/I343w0R9/9Kf63iXNdfnyOeLH8S7YmT6mqA/YmGFmqOPA3XfTKmY5PSeEMjP1BBu7sBAVLw2F8NE8MIwIYEy3QXfBSvTl6krWrKSXqdrKIGPjuvgK/N+L4OtngWkPMg6uBGDZRFJGspzCWulSXdlYFcOIwp6n6yvIG3Ya2EjGplwaiYGNFV/PfEJrBH3PeG6ORyehrcPrHgvfT3z2E09gahnyk9NibpIW+Nblpm9AxNvpcIncJ75NCkiSviQUyK/VpqJMruj9hDapVRvcbPb27qSpekyddWkCyD1DGZsgCH7jyf6dyJM8GUxRFK5448uYuOZqfD/AkjuQMEbc89r0QtZF6hZKeomSKka17Rt0bQ/LdlFclw1tlaoFeXK4gR2ngRtikpS0IpouoL4X2NQ6Nq4XYAVi0E/nxMhsmEev6hnarsVdbK8tXSzryezC1SNc/YINshqxjqIoPP+0CRY6No8ebBIYi+yuiEkx6w4CrfknRPjiuQfEcEs6/X3Efz/nDu4ODn7kLwA4pS6a4UUgAWi46cXjL+74i/T3mguUrbjWQtsRXtTqdDlF3rbPjL4VgFon3qX4e/fgZeCdP4HRoDCgDzhoL3CoHPCCg2JlToUDTZO2BlW9Siknnl+YGRUCm9HCKJRKYjea0Pa0pJOu6lU0ZEPIcOfX6zFfgonSBFpZgNpkTYx9Xh0j63Pm5NliMQicqHqwavWoFYI+xiYQbTDsGNiMlELGJrErtKwoVXxDr8RXRg4fcyikJxerglognxcrWbQgSPAPQqiYAgLNJj+UwGZ9YTk5x8cLXC6SVbILLTFmauesZ01JiJo9xWShY+F32tEOeaLts+xQi7mueLarRovo3TaGpqAp8W797v13o+YyKJ5L1xbP+mVPwMWHwJBp84KxEWO8NLYMPVwj5CLlL9ZZlxAlLxkiOYo9dPgh8h/Kc+sTtyz5/g92CBZovDg+8N5N2wRpHupHnhY7eJA/E7p9hixw+oHN6GiUuQQCmAPwox/B5s00h3Sml59G2YKZVqKY5sJCJCxenRPxxCRjE4aEpl77FvJyLIfWDZ9BZYyKFQyG4h95hIYXz6lP3X3dwGW5D4gQVe6ee+MXGw0OVKGQKzAhD480NpJ10cgxUp0k37WwXCueByGwqYzFC30CqM2VQA0yfErGNVKgqNWKKguvfNGrAbB6CfZ5dlaK6AuDc7PXo3FA1K0K9ZgRaOp0WN6Bs8bP5DVbxEtReKzXi0D4uuKKQcYmCWzm+uQBpsn8AVHjZuqqN6CfJnL6n7HAJjRFUS5RFOX1iiLECYqilBRFOUKC//8sy+k6+YP76NguriEWyWUdyAYKPbcTd1PuCmFkUa9Q0sUstTwTw3axm22sXEBBEzM774IXWHGzSdOkq0FFK6HLUJQfONQ6Fq7jYcsdywpdOLdG69j7pVz4T2dx+j+f/qR9WY5kmYySav64YbJMXs1yYNGk4zUjYeG2Jci7+VtEuuhVW2S6bmIxn/fFjDylkWE2GFwMHnniRwA8R9bNSi6ASQcGaQ0O9TrzWYsJO8dI6GPCLLauEaVXXlDeAEAtwSqZe4SzWNOAsbpJs5EOge1xxd9e3BUAI7WIGYZkbKqU5DOOwFivx2IeRooC2BQcMBNVVTsyZFXWyujIrvGhw7AsZssKU+UpdE2s3FZiN7oPsSCvH9uAJlkXNZvhWWtHqQY2dc1jrDCGlgszcxwmKjpZ24oWmfHSBFqQGQhF1SWj9h77QubybtRB/GhmyrBBIVdAl8LvCKi123Q0qDrCBb3j2++ID2w2owXiTaMvQPWFUz5zeYVcRuE8RYyBWmAwqY+Sd4BMj7m2RdDpRizC6FWvY7gXM26vumCas8sKXRXOUOIKFc1ekzO412krAAAgAElEQVSXVVneXaSticXq0zeJFNu2JkN2loMpabzSFS9EkwM+vB5jIa3D+mkYm8e+8x8AfOIbHxh8s9tl249Fl+elGiw+PCO25U+rBDJRUt/MgdO3Wnz8rC6ffBYMI8aUEV6zbH7ayjhUtQrLOjCbaJgYApuskmX6jW8Xnx/OEcOIWsZM/e4foHvQC6/X9+nKZ1AcmaBieOlQlO/DZZelGsXWZ+NrAOBlL8P93m0AZJItBhoNDg1nma5Mo75XFLxLMjYtHYYyBSgW0XsuAUH0HIKeSUcN0sAmDMuZour3mFKMwUcyhNxq0a2KATuqC7RhhZl59Treww/hZAIKagEtyOAkNTb33BNtSib7GZt2m0Ypy2hxjEwAWT/tS8I5Ml4aHwQ2iRYYrYW+6u6HD9NSxRwZzo+gTS0fvKaTwI6nCeaUoij3AT8BvgCEHe3+AfjICTi3k868Vauozh7ii/ftw5O6i6oFZS9Lz+tGWRt0DboalAvxrt32TbqWh7soUqPzpSGYmqKw2MEL7KiXlGKIRbekldAKYoYX9YCFro1jGBF9v6ooxGu1xWPLUgnm52khBl/xr4s89zPP/akATmiKojBV1dm/aGC7wrmsNjQe0RYHesYc3CPidafI0E3k9IOABYRDO7tdYC5jDrABu02xYMRaphgIhAUKc7JKW+p7Dx1ioQjjnh6lFfdcAy2XIWf1MFTIkKGaH6Zop3U04SJVcEW1z2YnDdZmPXG9GzTxDAYYGx2qxWGKWeE9+jU2I8UxKBYpuAn6nhgAFdUiuiIZm3AHZlnMlgOmSlNk9TxZPw1sWq74jiF9CD3IRuDkilPHKeVtvAyMFWPGxrF7rB4tkrMs9g2JPjIrKisEsCHN2CzkffSszi9URfzurl0/4FjM9MTONJ/LoyuqfAbitaDdxlDj2ho3PHJDfGCzSUcT51QYniDnC6c7Wcnzey86lTN64nnUnCZj2jAVG1x62K5Pb1EcW8zoZNdvYLjjRuHaXDYDZhcrG3BxbhU/+ZT4uo7dYdlQntevUqNCa9XJVVQtIuFnq2lEDFOxNIL+C69IPZ9uPb3BSIU2k/axj8Fv/Eaql09ke4Xg+M7uEpmF731vtBjV9/YBS9fl3keFVqhfh/aUbG/c8+ziw4OMzYdLIiNnIitoGyNkbEwhGu96JlV9iIoN7SQAWVhgfkQT7KNaIOMnQkaGwb4hAXqWDa2QGhu5INs2XRUKqGTHJ6m27fSm4r77wLZZuCSuDNhO9G1j82YW77g1av5oqYnlr91moZJhojSBWhUAww3T102Tlg7VXAkKBfKymnQ4ls1eh0CBklZGlSAhqldjGEJYnCnEOjM3rY3ryqrvEbDpSZ/whS/QkxuwfC6PSt/crNViYDPZp7trt9k3BJOlSXjVq9IhPcuK9G3l5734SRmb+VofYzM7Gx1b0kpoMtz+TGZsPorQ1owBycDlVxCF+/7HW7BqFeWFWQzLxZGUdcWCkuHi+GZUi4ZuRxSOK1YpZcXIsz2DpmlzaPcMpgoFrQhveQv5RgfPNWONTc/AUANKainamec1n5bp4HVj57q+Irj62cYBjsWae9LO8J799/BXd/1V+o8c5+jdeBPtHSYqOkEApicm4s+ZE1gZn221dDnurUqNjA/nS98fLfSmyXxBOMuzrSqO4qf1LL7PjNugHKjRbicCRbYolgZQlqneAQnHu7jIfBEmXD0l4tVzGXK2haFCMZtH0XXGTKglgI1piHMovumtg04ZImbpFPkMUrvzkLHJD1HKSWCTCEUZqhA+ouvk3bQGwJCalKJajBib0FH5lkj3Hi2MgqYJR5UQa7Y88TlVvYoWZLASrEtbnl9Vr6KpcjzaBiU9R87usW8Ipgrj6Dl9SWDz/co8F09fzIblZ7O8DXdsu40ns+/t+h737L+HnnR2BbVAPmRspFM323UCBX7FWKIfjQQ25VwRZXQU1RPPNmo8eOAA5vgwpmsymh+hbIMtQW6n1qCti2OpVBg2RfgydLzhDr+iVaIwcrQ4druiDQAKpWxegNqsQMWtZjcS0pbUEno27C8lPrez2AdsakvU+3nve0W7gM99Dv7t3wbebtwsWks0lyi82brzNuZkiGbfQlrn1PzOTTxui531XPM40vGPZnv3MtmB394zxrmzgxobXVZHHMuKE4sYm14vKoK4srycsg2dBIBnYYG5YZXJ0iSKplFIhmQNg90jsLq4nJxeSIuHbVtoFxUNxsepmD7tXmJu/lik8u/6wDujl1qthL7vj/+Y5dfCf4lG9pjJvqPdLgtFhfHiOKrUoUXlFgyDZh6GcmUBbGRdsRDYGPLcS1opwdikgU0pWxjMDBQnSFe2iBktymzHMBSl63FrkFxhcG4uLtLIQ0UtUzxdpDGF82verLGr6nH5ysvhwx8WBT+9eJPUlutIZcNZqC99uXg5fL8Z++Dd833Shbm5aA0qa2XyWfHLU9kknwg7HmDzIuD9QRD0b0V2AqufvlM6eS0zMUHWdVB7BrYUrlZsKDqiCJ8lxcN0unRVKR6Wi5sTmNy1fQG928LMIUJRF1xAwQkIrFYEiixLLFAlrURRHhtgYdoefid2rmPVZVR7MNPqc2Tbt0eVc5NW3ykKLHzqJvjQxX+EghKV34/s5S8X3XgPHAEsPfww5PPwRVEML+y03fPFOV+RE2XBH5l9JHXYnmyLlZbG2NnPErcndICy4SfAGYGItc92EgvErbcyU/BYpo1RlhqN6NhunM1zlrNE1+jFRVG7JVOKGJuu3SWvZslZpgA2uTzoOmMG1BLCZaMnFrri6lMo2aR0PSBCIADTE+vR3L5QlGnSyitUtSolVQDTZCjKyondF7pOwYFeIisqFNsWcoUY2ISMgFwYKloFNE3E28NdoefRkhk7oT4nKTIMa/QUcoXIaTu2RUnLiZ5ZBRgviPsvjo2dp29bbNFaXL7ycpTpaV6yE27df/tgJ2dpexp7uOqLV/HBOz+IKXeI+Vw+AgKh8+x0hRt5lraWa+7PUtUTYo0Q2GhlGF4ia6Ne54MvED+O5UeoWOAo4l6oplhIympJABt5i0Kd1P5A7EZXFaYoh6x9yLgZBm0NKrkimX/7d4YSjE3GtSO2tKgW0XPp6+k20xW3B0r9+z784z/Gv3/72+n3Z2b4WqIFQWoHbJr86YaYeQhBTGgP3/cNAgWeu0/ozlKMwMwMKAp89avsXjxCRlurtWS9Ev/xx6gVha5L9cHLpDtPv6gtwuEfH/t1cZohSE/UUNkwtF4AGycBbGo15soZJooToGkiJGvFwOZAFVaVp+P3kGPNsoTvVDQYG6Nqxbo0AA4ehGKRHy5uYjg/zIYatF15Tr4Pt96KlRBNGEq6ZcJCIWC8OE5FFUAtqk0WMjaqBDa2DE+GjE1ifmmfFKnmSY1NVxXjcSAzUN77rixWOirnYLgG0G5HZSXGimOoZHEUP34GEtgM54fRJCMajpu2Kcb5eHEccjmxEfLSjI2q5NCyGlVFONJwHniJMhrvnXqY/Y1EH7+5uZjt0croWZ28q0SZqyeLHQ+wKRCmlaRtAvoLUfzPtNyEmMj5VgNX7vArFpQccD0zEg/TlVlRaikKRSlyF6Z32qLgkl6EEeGUba8jujADphTEFtUilZzU2GBi2B5Otxs511J1jBVt2NLYEZ/g/ffD6adzy9tfyKFmGpzUbxOiwmUdeF/5ZVy28rK0JmXnTlFTAeCaa1jSfvADnqi69P7h7wGo5lUUz8WUIa6Lh88i48PW2UdTh3UDm3KgUlou8G/EYDz6qKj5ksmzXGqGQqEnAHffzUxFYdnUeoblbiYKGXU6NPJid/2NA1cw1BN0b3zBdSHUvfT5g4yNZE6KuaIANibUrJh+DYFNoTxMyYFuH7Dp9TpkAlCXrxSMTjJUZRi0tUBkRUnheDIU1QuBjdypJnc6htSkFNVipEkJnWfHjXeFaJrYgYXHJppnJlPFo8+V519QCxFj4zg9Tpsqc8awCL9UZb0WnWyqbsh8xsTK+KwZXgPT07xmCzTcNrfviTszhxYEAe+8+Z2Yronru/QSGpu8pKzD6+l2hCMs6RWKppcGjyGw0SswPBzR+5G2pFbj784Rz2usMCoWTs/keaeOo/ZkTRGtkgI2YThqvyI2JKtK0xQdyCiZGCxLtq2qluGyyxgKdEzF5fmnj5J1Hboa6OTIZrJoMqQXgohOghl47ePwkLkrHaL8siwWec011K99J8G3/ytdxfl97+POtfGvNSMxpg4fjsD5sw8IxjAJMGa/LrQ5F8+IkOznN38+PvZhqb157FdY/0/rUx21Adi4kU0XTvPJXz+LoK8v0OLWh/EyMPnat0SZM9Ez+Ou/JrdjF0NOljPzoqpzyFxgmpFua/nwSvF83MTzXVhgtuAxURLAJu9CL6GxaeRhtDgG2Sx5D3pBDGx6OcgrqmBsbAESIhA4NweTk+xc3MnpY6cz7GRoy01XfxXiggOH3cRibBgs6B7jhXGGJLBphkxtCHj1igA2YamYkLFJMK1ZVUcJwE7oc0QySGlAcA4IYFMQYefRgizaGd6LVivSC00Uhf4NEgB/714aRYXhwgi6ZE5C0GTJulx6ThfAxgPLj+9jR4NKVnx4VfrNkM3sJEpfGLmAZ193Tny+CWBTUkuQyzFuZamZJ1di9PEAm7uAtyZ+DxRFyQJ/DHz/6Typk9VUCWxWP3QPltsmGyjk3/Z2ig54XidiXdxuCy8jBnOYFaVkxIB77nhOLKr5KgwPU7XA9Lq0ey6+H0Q7+JJaoiKP9RQTPwjo1FtxnL86zlXb4PuLD0WLgr17B1f8Jrx85Z2847p0dLB2SNDXYyawfTtT5ak0O/LpTxPksnz0xSV2PHIni90a1952bSq19JEtd3Dau+E31m2G+XmqBRW906IZxnmXncK6Bmw9kK6GaQYORVS0qWlUL8G6bNsmFpL8EJNlEfhOga2tW5kdUVlWnWZK72N0JLCpZPJM7Kvx3h9D2zcjJsGpL9DWYWx8FaVzLgSSjI3Q2BQ1AWxGTajbMf0asiPFyihFBwwvgdsbDcxmjYKioaxYQdmGdmK33ut1sLMyK0qKh0Mg51s97Kx0NpKxSQMb4aCLapGi6HsesTgd+YzLWjmxGKSBTQaFolpEU7KpnjLhdxTVImoYinJ6KIrCCh3htPOCMSn6ORzFj5znYVVm4VWmYflyfn6nKD74lce+Qr995fGvcPMTN5NRMni+hykXpHwuT14yNhGwMcX9LuVFEUvXd2MWqNmkq8fAZinGJrQgm6Uigc1ISUM1uzEoGh8fADahpmuyNIkCVHKlOPwZAhtN3IuqDHFOVD2yjiPCiIq4jv5QVAjUAF4s6zWmCjd++MMA3Pmai5isfJKXvsHH/krcK8nbKTYo63tikTnQSmxMDh8m64sCbb+0I4uLHy/mH/pQxHpefVBkiEW75yDA/cT1qV5CWw4mCiy22/gXXcgVr+/yjvP28V/fS9THCQLmpL5iYnw16uq1QELH9v73Y2dFNVxdLaAEaWYyXPwqQ5OUbOgmmEljcY7duslpo6fFAN+OGY5GXpQeACj4GSzFE/V5QmCTkaGoUE4SAsjZWZiaYk9jD2uH11L1crR8OQBqNb4si869+ZRX84I9IpMwOiezhZn1GSuOkdeKaG4a2BgqFCQD26+VSWrjFMmmOm4a2JTz1SOGoj45sY98Lk8hXyHrx/6HdpuFETHOxovjUaZkBC5vvZXG1DDD+WF0uXEI27CEOp18Lg/ZbFpj0+vJcK0YOFUJcEJgE7YHqkgm5zAJgD47G4mdy1oZcjnGLCUNxE8COx5g80fAbyuK8l1ARwiGHweeC/zpCTi3lCmK8lJFUbYpirJDUZQ/OdHft5SpkwLYvOSjHxAZHdkiyiXPksDGjOrY9LpiwhTVYrS4rZvI8fNnTTHuSudZGoWhIYYs6Phd/CDA9nx6bhyKCoFNRhGTfmG+Gcdch8e57AD4+Dw6JxiSm7sbo/of33XTOpeZtghZjWVKsGkTU6WpNIjYvJk/+NVRfv+KLqe+cYHRD4/zkR9/JFVY767aQwB86WyfL378HVTzOfKdVsQWDK04hTMW0l17AQzFoYgGy5YJJ9eLF5K2LkDAVFU45bkk2JqbY6bos6y0jMmiyGKJzlmW5K9ki6AorJEfuaexB4DFOUHdj45MxwAjYmwksJFalzEDam68S1nwxESeGFstQlF+Yoe1cWPMukjn2jHi3WCtIXbh48VxSroIn4WOz5J0e8jY5N24ESqeF1HjBbVAQVLLISjpeGlgU7ITzJesnVPNFFAUBZ1cmrGRwKyQK6DpMjQaOt6QZi8I4WJR1l0KzzkEJyW1BJOTFPwMr/PO4AuPfiEluJ7vzvPOm9/JJdOX8NxVz8UP/OjYglqgkknT3R0JbMoFAWyS30mzSaeQE9c6NBSzBeGimgA2p42eJsClZzBcUNF6Ynddzlfh8ssHgE1X1oEqlUSsZEodiQW3IbCRIG/IE8/ACbpkXEeEl6VmTpfZZVFoTYqF73rjd7lURop21CWb6rrw6KPwh3/Ihw/8J17gcdsG+IONgvnk8cfZv/mHAPy6fx5KAN/Z+Z3oGoPHH+dvnyeKuFUksIo2B//xH9wkNSOr88vS791/Pxsf/Db/96Loo9iz+a74lx/9iH1DRE11f/ve98X3uNViNivG3mRpckD8DQhgY3soqpoG6VJAD1CZXBkxauJiArYHC/hKwLlT50bzIMqKkiHmGNhk4++1bTH3snoUioJEKLhexxsdYV9zH+uG1zHuahGQpVbjXlHyiFde+AbWNGCvH4PRmiPmfxi6GbISwMY0hS5SL8HiYsS8xIyN+L+oFkFVRYHM8D7JLNdyYWjJUNSW3CIzOZOe20PRdYpOguFttVgYzUfnpUpgk6yd1CjnRChKMja2/N6e9DV6NmZseiGwkRmJYeHKSjbN2LTkHP3YL32clYZK0VVihnBujvao8KcRsDEzz2jGpgOcD9wD3AbkEcLhCyEMgp4Yk8zQ9cDLgLOANyiKctaTH3UCzmM8rh/R1qGilaFUomSD45scWBRFwmypHyippSjdO5u1OWfFEEqzKZxndVwAmx50ApENZDk+ph9PkjDWi6yqW5+tizTyTJ5MdYgLpD8OmzTmugm9Rtbnhs0y02RmhntGDYbIs2HNRfDQQ0yVpqgZtWgXHOzcwcfXDw7Ox/aKxpPYNo95M6iSDv3m/I/IZTOcoTkRsCmvFsBmW3dfLPQETMWjkNGgUhFOriuBQLSoDjE+sgIlgLlaHM/t1mZYVF2WlZeRHxpjyM6kGJuuhgj19XqcISMBYSpyvS52vKOFsUTMvEVRE4JZQ4WiXoZymXED6m47qto6i1gYJifWCkcTJIDNww+LpnR6GYpFEYpKxPkX5PeOF8dRCyVyXuyoQoYl0ti4YCYcoJnQcBTlAhYu9uGONwI2yRCZZGyqMnSpKTnsTByLD7+joBbIJRgbcVI9oQmSGpeS1PaEoClMtQ13fkxO8t659ZiOyV/e+ZeAABxvvvHNNHtNPvvKz6JlNfzApyfdQiFXYCgjdoURwJC70lJxOAI2kUNvNukUMuJa83lyWXFO4Vj1awsoAVx9ydWcv+ZSAS49k+GixrBvRztkhocZViup7+3IDJuybEuxopvhkAT9MbARYbmhQDyDZq/JJcvLdGW2FSSAjXymDalpWDm2nlMaIiS0c1GKfHfvFmXszzyT+w/ez1vOfwtvy1zCv6yc4eBj98L3v89XpDd7xcilTHRh//zO6Jxq/xCL/MsytB2Blwsu4FZZjr8wMkHRTYTW7rqLg7IQ3i+OX84v7ICv1X8UfRZbt/J7LxM//s7OEWaDNveHPd0OHIgq166srmQYPXUfWbsWK4tYUHM5wWwmGRsZXimOL6dqQyuQDVANg3pWPIOkxiacG67Roa0TNWvNJwGVZQmNWlaHoaGoZUnE2LTbHB5VcXyHtcNrmfDyzGXlOF9YiHpBvfasX2Z1N0dNMaNxviBbNYwXxyGbFcJxJ9ZemeGcX1wcDEV58fxC04TPSIihOxqUyqNRxWujEzNqe3Liez/wvA9EG5bo+bVaLAyJ6x8rjqEpCWATBNBq0cg6acZGMl/hJioKRSXrAbVasYYNUHOCPQ6Zy7bUQ02Wl3FNcClGLoif++HDLIwVyGVywmfkcrzrkQLvefZ7OJnseIDNbsANguDPZXfvlwdB8AGE7ubY66z/dHYpsCMIgl1BENjAl4BXnuDvHLTRuDlUW4NKYRhKJYoOWK6BaXt8+f592CHNrpWiXXvotO1GjZ4K1cIIVKtULXDxcfweluvRk8CmpJYoyYHXs1uMFFWyHdFfp5grQKXCmgYMkY+ATasvLfnNN75Z/LBpEztH4azqerIXXgSbNzNVnCAgYL47D57HjsZurIzP9S+/HueqB7jjBo1r74bHmzvERNq4kcfGfC4pnMIbzA38sDBH4Lo8ZzRLS4dytkh25WrOWBATKGROOHgQA4diXgjvyjZ0evFOqJVXqOhVcmMTjBkwuygpeN/nvoxYcC5afhGMjDDVhbmwZUOnI1mXApx5JtMhGy0ZnbqsPTNaGCVXKDFkZ6gZNcp5IZg1NChqJahWGTPBJ568c4hnNV6epJjRsBQvBmobN2JW8kIjVSxSsaDtxMLLBQm8xovjUCwKAGIvAWxCYWQY5urGwvCiWhRAkHix6CTGBZomBZkxY9PWpDYE0JUEEPD9qMhcSJXryTCW3F2Hu7dioMbf63n0Mn58zgDT05y7t8fvXvK7XHffdbz7lnfz0hteym07b+MTr/gE50yeQ0bJCMZGCpjzubzIKCF2nl25GJXylUg/knToHU2JHa8sVOn4DjiOqECtwPqR9VAuC3Dp98hmFM4dztHJK1FoLdz5R4BKygQLknmZfmTPALCpSPZqKBDPoGW1OHeyIEJRcncbZ5dJYCPp+5HiKEPZEmN+np11CU4efxyA38/cxmx3lmeveDbvf+VHCIB/uPEPYds2Hl2hsqKygkvWXs5UF2brEuB/5zvML8Rgv1IWPigE04dk4bvpyrRgEJ3EQv/ww2w+VTzXz/7a13jRboVd3kKkY1vYvjHKELr2gqsBuH3jjeKFPmAzFojrjnbmjQb2hrVoq9YOAptul3ZRMG6ZbI7xoIinBOLZJ1KUh/PDMWMThlyl7wyBdkFJZN2EoaisDqVSxNhEtWzabXYOifG6bmQdE0GRxZyD4zk4Gx/iS+eKP1MUhTVysoU9veqyxtVoYTRmbBLZcr0cFPJleOUrB4CNmdDGoarCJyR0W10VyqXhmGFqydC1ZXGgKPzKb1/826Dr6Q1Lu81CJSs2OmoRVc5rx3Og02Eh73NAaTNRnIjF7CGwkf8nGZtIYyP9Rbkgky7k9UaMjRtnUZ5RFQkhjx0QbD2HDzM3nBOhXEWBXI5X78jxurOP0L/iZ2THA2wUYDDdBsqcePHwCiCZUH9AvhaZoihvVxTlAUVRHpifT2coPG2WBDY6VIojUCox3ANTsioLHRsrdNpqCTVfJOvHkz4c1FW9Cvk84+Gm26nx8P4GPel4S1qJrJ5nxISFzhzLhvLonZagw9UilMsowPnBVARsFmWRuce7ohD06SEfvHkzByuwYnIDXHQRGAZTLTGhZruzsH8/t6wTs/WlG15K7sKLef4Wg2eVTsVRfF7/1dcTfOpfeGwSzjnlOVyx7vkcKgfs+dC1UKtJXYLIYLmoLr7zzr13iu++5x4Rn16xFgoFJgyYM+TzSbIFY2NMdmGuJQWV3/8+j5TFzbl4+mKoVJhqBynGxlBF7Qiuv54xVziqMNZb74jvGC2MQrnMWE9hwVxgoqKjWj0MTREam0olegYLxgIEAXVMKoGGltUoyRBKxCYcOECvWhQLfbEoHGC4s7NtalKrM1YYg0KBUsLh9zM2eTd2iuH1gGA4QmYgdPhRsbv/j733jpOsqtP/37dyrq5O02m6J2cmMTAMDGFAYEAyuGJgQUUFA4q6yg/W1RVd5Cu6BlYQ1DUg6poBEQUEkcwMQ5hhYHLqHKorV1d11f39cc5NHWa6Z3oi93m9+tVVdeveuufcE57zfMKRq0Lht2AMgEm5PxWgZ9UdKA1AKqUrQX6XH9xuQYq0gTeXI+8UCcBAhtIi71lK//o9A0yfDps389/n/jfvX/h+vvfi91jXvo57LriHDy39ECAccsvlkn6u3+3H7RYyu66caCbXxSfqofzaJGOJigJcAaFEDZYHIR43TJ++KHi9hAYVUqrMBCv3oApJklcRkoks8/0iwZsySEB141i0GIBQwfRs02kSPpNiI30MEgMJGBgQaqmsB62+MtLRvH8wjaLKfh0MMn0wbCg2rwk/tW/vED41F8+5mKkLT+O83hh/SryIunkTa5qdzKqaBU1NTEpDR0Las15/XU/Jv6JpBaFKq7npc/UiAvH2d9wO1dWE8qqIQFJVEk8/xu1Lc5zWchrVkTpW+4STyXee/w6oKq+vE+auv77/r8x4x7+wsAOeeFNmPd6zh90RqPBECHlCVCmCXPZme3W1oOD3ii06pPqoE5tdu0jHAvrzq5bh4D3ZHujpsRIbt1uEe2vqR94YOwGr03k2K4iN2w/BoOFjUzAUm9flru5zqucwF/HsH3jrAfpefgYzmouiPDsTO0FV9bDxsCcsJnqzYpNMClNUIAqrV+NbdpJxT1id/nG7BdGWqkcpkyIvI2R9t30DZxmSUt0zOwfXBmuH9+tkkp6gomea9phNUckka+vFfnfnzzzfMEUVclAq6f4/mmIjMjgP6vWU9hgEHpeLSN5EbKTZO+wNs7D5RADWb5BO5+3tdAUVobbJcxm0bvNwJGCfxEZRlO8qivJdBKm5TXsv//4H+C0w9i1/9w8jpdO0kCxVVe9RVXWZqqrLampqRvj6gUFVVTYmt/GaTEvYF3aJvAPBINVZ6C+luGyp8Maca+oAACAASURBVBMZlB0i4A6g+AOisUqyo+VV0GS85pR4BPGBdt5oS+rEJuAOgMdDUxJ2J/dQF/Xjlflxgt6wMAsEAswvVrCxR+TMjstJY8aV13PzU7A1OEA+l0L92U9prXDQUDkFThKdctKvRbhpZ7oTtm7lmcnQ4p0kVsEATicXVpxIZRb++OYfeeLpn9MbgPlNSzn1fJEl9unffwe+/30jqkZRWOKbwrx8mNuevk2Ydt58k5wLAlV14PNRn4K2jLShacnsvBGorKQ2A51ZSVzuuotNTT4qvBWiEwWDktjIc9NadmdhDgy88xIA/u+N/xPPR/p/VPoroaKCqoxKb7aXxgo/C6s8gti4A/rzA+EnQj5P2lUmJE1BzWVBFvRQ2XSavMchSEIgQHUWujX/nI4Oi+qC30+gABk5CWkDodkUpdu9MxlyLnDhxO10DzNF5U2h07pio/ktaKYoOSH7zKvceFzPsux3m4mNmABKuQxFp+EMG5DnZooZfYWs/y7AnDmwbRveEvz80p+TvClJ5+c6xYoToFjE+fp6Sq279d/1uXzgdlMxoBjKiRy8Q80zaJSp5M/++dnihESCtKusT25un5gYi6Ui9PXpzupR2ebCeBlUyoLIpdMiC6ycVIMVNTjLktjk82JhoHggEoE77hCqmQxTVpMJuoNyksFwqkzkE1AoMOAylB6Xxyf2L5MTYr+aJaJ6cCgOQWwGAgaxefxxuk4UpOL2d9wu1BXglEnL2Boq8ETnC7wRzotV7+TJzOmB9dkdgsi9/jpbZ4v7ufuCu4lWinO7M90wOIhT7lR/8eyLBbEZUEnlEvDaazzr6SLjGOSWU28B4LjlF/Ge9Qq3PX0bD//2Nl5H9LXjao+DBQs4o93DM9m3xKT4wgvsiTmZHBVOe1Ui0bxQbFpbuXNZmT863hITp89HoGjyk9m6lT1VHn1Crlb2Qmw05XIIsQlIR12N4GeLWdH3XODzBMDlorYgOltrslXsCJ9O813/a0wKTqIp0sSFblHnb/W+pae7uHi2EPpbIiKSa1diF6TTpORWDWE5tkYHICGVi2IyLvar0/KKyfaYH8yDquqKqLZwCA9ASkYxZnrFeBXyhlGamggPQFLzMUwmZaJQRfQ/zcSsOVonk3TLEHQwFizFchESCb0e60J1wkwGZPNJSCT0sHZdsRliikr5FD2FBi6XCJ3XTFFSRY54IzSceBauEuzatk5sDpxO0+Up6n3kqCU2wHHyTwHmmt4fB8wAXsYaLXUwsAeYbHrfBExgJqqxYfUvVvOlj82Fhx+mZ2ajaHDBoDRllAkHCjhLRQqag6InCD4fwSKkZdK3ZFZmLJZSa3NedNxoOIGjWCAnQ0A0k8PkBOxJt9IU8+PNSlOUbMSEwzTm3PTn+8kVc/QVEgSLCu6lJ7B49mkMOuCNL32Mzh0bSLnLTK+cDrNmwY03MukPYt+ZzowgNm/UwHG1prA+wH/qmTz3I/H6rPeITnFS00nMb1pC1BXiySnAs8+SkJl2AZRZs7n51Shb+rbw5I4nyb62lr6AQiRQCX4/DSloy3eL1XUuR1JzYqusFKamfB90d8ODD7JrbiMtFS1C8gwGmdIP2/t3CLOQptjIzqlExKT+cvvLdKU76S2K+q70V0IsRm2qTEdKqEHuginc2+FgSlEM2tv7t0M8LqRjaXKYUxJOphp5JJ0m51bEZO33U5uB3nJaTEKtrfpkrhGbYBEycvLTVlEWU5RGbGR5/JJgaP81h0wtB4VlANSIjbbxpiQ2lTLFfV+uD+JxK9nSBl65otT2pdGISxBJbAqZkRWbOXNETpAtwjE27A3jdsofUFW49locu1spd4hElC4cYhdlt1usgjVTlCn6b7JnyN5HiQRpZ2mYYlMsF6G7m4QptB2MMP/UQIpCJknBaag9SrSCioJDEBstQkWqcCxYIP2cxL3EU90UnGKiAMPPIzEgiE3BiVFWt9jrLTWQBFUlTl7fWoDqaqb3qOxK7KLQ3wvPPMO7zxUT9tzquXoxF85cCcB354r2cfHsi6GhgZW7hV/XuraXyb+yhjuW5phdNZv5NfNZFJyGuwTP7PonbNpE1llmvrtRTMjNzVTmoLdjOzzyCP9sAZfi4pTJp4gfXLmSex5Qmdyvculrt/DDZQ6qfVWivA4Hq0LHkVdKvPjQ3XDvvexprqApKoZdndhke2HjRj4pcroJsimJjRb2nOlp56lwn/67DYp4TrsSu3RioyA2+tVNUXIyzcpQY43YaKpZf74fUlqqDHEvUwaD+FSn6JvZLOvqYbPSx62rbsWhOPBX1xPLQWvPNnr7xXTxsROEya2+bibOMuzs3wm9vUYUl1mxkcQmlxI+MX4ZRaRtTjxQGoBcjqxLNe5ZU2wkcU/3iN/VknKKNmMoTJrflqIo4PWKvlkymaK8gzqx0UxRhVLBYtKL+WOiLkGQ2t5evd96XV5wOqWv4MjOwzqxkeNUUjWIjXPGTBrSsKd/p56eoNs5cPQTG1VVV6mqugr4KXCe9l7+nauq6kdVVd18kO/zJWCmoihTFUXxAFcCDxzk37RAURTOm3Eej7v3oK5eTU+2h2p/te58CqLTL6twWjKU4veLqJtsN6gqyd1iFac1qipVtE6HM4MvnbROQppik26jOuRlSdRBxu/Uo3yIRKiXMn5HuoP4YJpKaZJZPHUFAD/acB9vnCy8C/VB9YIL9N1gO9IdFLe8xVvVMH+yKXwC4L3vZeZl17JiN4RLLn5y8U9Y3rQch+LgkvmXc/9iJ3si0B9wEJM5GJg1i8ue6iLmi/GDtT/gH+3PkXeprJ6xWic2mVKOVCGFmsuS9JQtik3XYELk/BgcpKsmwKSQlMhCIRZ0icFka3yr7jwc0FYdkQhXbhS9ee2mf9DhL+PBKVaFsRgze2Fz3xbdgTHrMgbPqWoFigqbezdDPK5nvQWYpVTjUGFjtyQ2mQwZd1moH4GAvmFeb7YX2toMs4/bL4hNAbIDIys2vkEhJZuJWkAqApovh0YENPu41yWITWQAEiXDhCIi7QQJq1al2SDXKxSbkUxR0vyiJQPTiItlIjEpNprphbmyDW0YIe3/t74FP/sZDhXKPo/wS5AKEG43FTnDjyklyX/IEyIUqOCj65x6PebT/RSVsj5YuwKCpAyWB6GrS98ZWiMgmrKSKqR0/y2N2BAOUzGgiHqUESqaeZHqavxFGFRLDJYHac/3WK4blUQxOZDUiY2+O7okiMl8Quzg7Ff1rQU49VSmr2+lrJbZ+ehvKZUGecq5h6A7yPkzz9era9FJQmX80xyY5KmkPlwPbjen5sSk8ddH7+Jh9w7e8KX4yqqv4HQ4CYYqOaEVntz2BLz6Kj0BkawTgNWrqU9Be6YD9blnefA4D8ublhvjxerVhD5+I4+9shCn4uD1mjLXLPmAvr/UaZd+GkWFJ74t8ljtDpWYLJWNCmcARZVtqs1YU77a+aqV2JTLvBCMk3YUuWSOKN8sh+hDb3S/oRObqDci1C0t87Ak7tms4Z8IUOkQ//tyfYZiI4mNMxBiTiEqrptK8ZyMelo9Y7V4UVvL5ARseeUJff+pKpkEz9UylaYk7ErshI4OPYpLi/QRio3oI7m0aLNaH/FJ5SY/mBdmKvNixuORio0kNn0dxnW9XsIF2JqWJlep2Gh9Ho9HmOo1BTiZpMddHKbYFEqFYcqX5lOWyiWgp4cBua2f1+kFRSFSdJDUPEYksdEUUY3YJGTf1Lbe0Uje9Jyfjbk9OrHpKqeOfmKjQe7indz3NyceqqoOAp8A/gpsBP5PVdURRtaDi2mxaaQKKXqyPWSKGV2xMftonFihGLlm3AFhfklDe6oDWltJZqyKjbbaLJazug8NGInYJiehe6CP/GAebzpJ1uswBqrFi5n6sjCRvO/37+M3le3EyuLHZ1z0Aa56Fb5/IlxyumiQS+slcTn9dML+KNVlH5t6N7Flz2sUnTC/9jhrgX0+lHvu5fFvx2m7uZerF1+tH/rCKV8g7yjxyAzo95QFgQCYNQt/psAHpl/O7zf+nicCwlFxWcMy8Pl0J9+2VBsD+QyDDlkXsRiT0pBQc6Tu/wksWkSXaupAwSAzZJTvtvg2kdjKg+6cTSTClx8THSzetZP2MNS5YmLQjsWY0QfZwawI7c3lyLrKOrHxVtWyKBfhyZ1PQkeHuK4kTD5/mBlpL99f832Rmj+bYr0nwZyqObpiA9DVvQOuuMLiJ4PfL1ZKGrEpWRUbLaojOSAyv+bc6Nmm3b4ATWmnngtFizDSzq3NQKY8ICR6zcdGOspWycmgJ9sDfX36vlgep0cnNppUnpdmGM35sAZxbne22xKppSs28+eL7NPPm3ZGBnj1Vbj5Zrj0UhxVVcJ5WEumBuDxEM3L6CFVJakM4FddQgEJBjl7k/D52t23nfiASW0D3H5BUt7ofgO6utgpfR5bKloAkSlYq0eN2IRN7aIiW9YVm4wbglpZQiHdETRXzOn5X7Tf9YYq8A4apqiiYwix0SLi4nGxL5lH3tjs2czoFuXZ8txDbGr0UabM9877Hk6HsZFs/ZTjqB4U/fW4RmNR0VDZwln9ldy24+c8eJwHp+LkwlkXioPhMKu3wAsda7h9wz1srYSG2uniWCwmxho1yb25Z1hfUeDapdcaz0hR4FvfYuYTr3Lfe37D5XMv56aVRuaMysvfz6JSNQ/PdZH/r6/QXeynKSLYgtPjI6blK4nHaZZuInUhYWL2a/mepH8UoPth+P0R5ia9PLv7WejultlyY3q7MPuaDVVsKh3i2ZuJjdcnx79gkHm5kMjynErRGhGmXO2euewyVu2AJ9VtPDhbZP+dVyPDz1paaE7Azu4tsHkzKbk3WcAd0KOiUqWcaMeSbGnk3m/OTyX3PNOPu90iL5ZMGaHlN9KIzak74en4q6JvJqXPpGy/eDxiw9BSArVcZrMzwTZnUg8+8DisxOatanA73CKjuE8kAEwPJAWxMSs2QHTQSUISFjWZkDuGy36gERvpY5NSCvhUp65OLq9dwiv+BLlf/pysG9Ll3HBiM0K2+8OJce/ufbigqurDqqrOUlV1uqqqXzsc96A9zNl3ilCCydHJw4iNK9FvJSd+v1hFZTth1y5LhlgAr9uHW3UwUEoL4jJEsZkszbG7E7tl4jKH3ulZuZJT1/Uyt2Imz+15joyrTCogWrQyezY//N5OZlXNIlVMc/7M86kKiIkPpxOlvoHFmQjrOtaxoU/kvNE7/RD4QxUifNaEWVWz8Dm9vFmNntYbEM7JwL/+/DUGy4N84xSY7msg5o/pig0Iu3i/tt+WJwxuN/UO8RvzTlrL5VeU2NG/g0lBqdgEg9ZcNb29pLyKIac2N+s5S+K9e+gIQb1f+loNUbaKklDp9Vhby3ltQZ7Z9QyJPVuFYiNNawSDfP3lSnqyPdz02E2sDafIKYOc1nIauFzUyImp+x8PA2IXZKciBwXNFKWFe5dN5iSvV1d7urPd+gCpKyOBADPjip4LZaBsNUVphKo7000pnSRt8rGpdpjMBh0dIlTV5RMkT5pQEpopyuzQDFRLk0N3plt31jQfx+OB5cvhaVPYcC4H73ufcK6/5x4ciKiovAs9ugufj4o89OfikMsJ86VUhwgEaJJLpj3tbxGXVRCTk98MRbTbl1pfgvZ2dkfFRBGV2ZK1cP7UQIq0lPnNik1lVqU70yWIjcc0kYRC+DViM5jTlTV9JRsOEykoQ0xRsjy6X4IgNt1BqPHJ/jVlir7h6/nRh5h3rWiYp7WchhmKojB/ulBWF5jNwNOn89/391FQS/xkXoFlDcuMdhEKcb3MwHCT+0laI3DurPP0e5qWcpFnkBuX9XKC2sBVC69iJFw29zJ++y+/NcYEifefdxMv1A1y/2oRm6GTBLebqpyiq4D9PnjP/CtZf/1649mWMtDXZ/XpAggGObXdzZq2NYLYRDxUaI6rWri3bN/ZAauPTaVL9O94Pg6pFANOsdjQrjsl66Yt1YaaTNLrhypX2NjhfOpUViYrKDjhp4vh7OnnGPckn9Gmvs2waRNpr4jC0yJ9ogNif7LUQIpcXAQiaKaomDeKs2ztt17FLRQot5vaDPSVhHlaU0aDHmGKOle6XdV8o4Zyol8mCg3qdTEpLbaQSKV6+GeTIMea36NmJk4X0tDTw+NTYUXDcqsZayAFPT36XlDaPBMtuckoRUrlEoPpJKqChdhU5mQdq6rYlV0zqwIrLryeQSes+cuP6Jbh5xbnYRDm6SMIRw2xORKgERttZTc9Nl03NYFcIe/caTVF+XzUpaEj1406ArHB5yNScpErZfClEmQ8wvlTk2lnygFyU+8mQWzcpoF34UJcZXhx1jd4eNsKqjNw6bzL9fv1NDbz0odfou/zffz5vUP2pqmuZkncw/rO9bw8uBsFhbk1cxkrnA4ns6pns3FpM/1hl5XYfPzjLHzgRWLSBeTS+ZfrZTWTk5cQSpJGqK4cnMMnX4CED35fWk9juJFrFl8jKzNIfUrYmXf276TU10vGrRr1OHcuMY3Y9HfQHoK6cL1+7iRJbDoznfoEphObmhrO2FampJZY1/6y8LEJyQE/EODStxQun3s5v3j9FzzeJJSTU1tOBaBWmh+6Noj8H7nlS43BUzNFjeQA7PVSY3ZalspKQFMa/H6qM6pYqaqqnk9GM0XVmkyJabkq1OqiyiGu0ZPtgfZ2GQEm24zbzeQk7C70oKqqNVILoUhECw5dscm7xErW7TDtGHjGGbB2rdibB+Df/k2Ypv73f6G6GoeiUFZVcm4jqgW/X0x++X5IiqSOUWlCIhBgskZsOjfrmXRjfkFs5jhqqc4qwqdh61Y6awPUher0CUyX4QspfSLRiU0kIlbBqQ7Dx0brP6GQnlskV8wZGae1dhEOE8upor8XChSdRpg3Xq9wHM/3Ql+fUGyCcrCfP1+P9NJwwawLDMd8E7542he5auFVekQZAJdeynFdsOb/Krhlyae445w7jGPS9P2L9LmWa2s4rU8mhfTAFZGTLArRWHDdsuuI+WJ8/GGxkeRk6WMjiI0wRRXiPSR9MLt6jiBGMrqzp5QSxMasWoJYlPSViefjZHo7SARdOinVoqJyZRHVpu0Qrj2DiCeEsywUGzWVlFFRAf26VVmVwfIgyf4OYZbTVDOJpc3L9dfnTjfqjJYWFndAZ6GP9q2vkKoOGyqf9LEBYQrOyZ3btX7t8PmpycjAi6HmJLdb79easg+GYrPUtIvGK3vWSHVYjmFerz4+bm/doC8qvnDKFwAjr1JSqjK9ATi+Sey/pynAqYIgNkmvWGBpzyBaduvnDmREZ9PUHI3YpIsZijmxEayWCBLguOnCV2pLJXQdPwfAqtjAEWeOsonNOKCzVInpldPB4aAa0Xh6sj2webPVFOX3U5+GojpI34aXSPrFYGwmNuGSk2wxrZui9IE1FNITz23s2QiJBFmXahCb44TpKPT8y5z3yzV0Za7nm//yQ8s9RrwRfYKwFqaGxW0qhXKB206FBf4W43fHiLnVc1lXXaSgDhrERlHgzjtRNm/mA9MFofnXE2TETFjsqOzCwZa+LWxVxIS8qG6RqK+WGXz3L9D95Inkbsmx5zN7jJVsRQVOFSa7q9mR2EFabmOgD0ZNTXhKIqqnt2c37WGor5E7RweDuk9RZ7qTbMFIgQ5AbS3zt4gRZUP/Jvr9isgMLc8lm+XqqZfSl+vj1tNglrNW79i1HlG3HTs3wKpV5E4+0biu30+4YOTDGBrZZFFsenqEKcpnEJuKTEkQgWKRAYeKU3PE9XiYJnN8be7bTCprJTYhdwBPSfpDtLeTC/sMsuV2My0u5OSebM8wYoPbTU3eKe5JC691eIxVMMD73y9WaN//Ptx3H/zP/8BnPgOrhW+DEwclhClKiyLS1LqefC/Z3g6ZUFCSj0CASWlx3p7e7cTlKZpJCLebYFEVk8S2bXTGPIaSh6FUpQZSuuPlUGLTkelElXutafmhCAZ1xebrT39dn4R0U28oRG0aOpPtkMkIxcbt1cvTmIQ9uU5ybbvIeKA6JjNQNDSgNDTw5gMt3PIU9Cy+nweufMBahxJnTTuLn136M6ti8653wSOPsOiRdXz1om+zsnmlcSwk7v38O/9KZADOrjtF98EAWFA0+vpJTScN+719IegJctXCq3R/MF2x8Xioyqg8tu0x/pkXCu+SerFVCT4fVTmRIyjf0zHcLyscZnKPaPu70630BgzSqpmiyqgUCzlr6DSg+APECg76cn0MJhOUHaa2GgxSnRJKQXdcXLfaZ6TkAJj64z/ory83Lfo0YgPwyksPka4MGW1GRkUBJDK95NJW52F8PpFrKN2hh4JrJmRNsQHoSnWQ1gJJpPNwcwI2zfweAI8+9F0x3msKlM+nL2Q3d6zXfWg0Xy9N4UzkExR7xC7bmqqJ10ssB335fpGCI+Ag4o3oba5Cuij05foMYuM0iI2xKGwXObGcxlyg+Tl2hqDrE9cANrE5pqA/TAmN6ITcQTyqTCv9l7+QaajB7XALc4QMcQZo3/gSPZOrcDvcRify+YgWncTzcd15OGRyDq7MQa0rKjLq9veTcZaMibOqClpa4NZboVhEuexyxozqapZsNzIVXz1jHOdKTI9Npz0tliA6sdEwYwZf+8B9bP7kZpE6HSAaxVWGaUolW+NbdSVDJ2oe0fm8511gDF4aZAj/FKWCnf07SfWLVZROEOXxBbsL/LNvHb0BqI/J/SVCIatiMzic2DR05Yl4ImzI76YnYIRYEgxCJsM5v1lLoAAFFzT5jUm1KlBFaNDJRkcvxaktZAezxgDo91OXhp5igmKpaPWTcTqpyYvu150RxCbrd1lMUXoUUTbLgAt9x288Hmb2ghsn67vW6+GjWl0oHi9VeZGQkPZ2smGfcU9ut24O7Eh3WBN5yWvX5BSLKUrb58n8bHnPe+C//guuugpOO028lnCgUFawnuv3Gz5S7W8IU5RGSqurcarQkCgLYjPEFIXLZWwh0dFBV0C19EUtH0eqkNJD4HUT5aRJ1GaEKS+V7Lb4T+FyUSG3Tbh77d16VI/ZFKVPYPG4cB4OGJNQU1L4Km1tFblkamqnGnXU3Mzsl3fy1b9D1cKTRiQ1o0JR4NxzYcqU4ccWiUVARR52r3qQP37wb9bj4TAzZA6942efMfbfNOGyuZcB4HK4dOdh3G6eaRJ+FDfGhDq5pE4SG6leAaxpX2MN8wfhxNsrJr7d+U52+wvGdT0evT3u2rPBaooH8PmozCn05frIp/qs1w0GqU4Jc82b8c3CFOW3mtYUv59Hr3qU9devtxBAQiEWx4RCva4eUpUhS5SQrti07yAvRS+9b/p8TNJUQBl1qB8zm4n7dlt2wsYr+sJMKmlRYrw+CXojLuOeHQ6mFkTb29m7nYRXmLiGOvYnB5LE48KBWyeIXi+NKWjNdwnFJuI1xkagqWjsQTYgo7yGKjYAff3tYtFhIjYBd4CwJ0zHLZ+iu0kQR5vYHEOoCRqKTUu0RR+slFCYqpKXnmQHvPAC2RnNxqpPKjYA7Yk9dFf5qQnWGAOdz8e0jIctfVuY6ytZw7kjomHOdk5iU+8mym2t5Bwl49oAF1wgHLfcbjj55LEXprqa2Vv6ucl5Bjc8Dzeeecu466MxYuRI1KVlE3wuHzMqZxgfBIPgdDKjFGVL72ayFHGg6MmlmCd9fM4/f9i1NOLSUgyys38nyQ6xF5Q+GMlB4/SdsLZSjErNMgcHwSChgojQ6Ux3WjatA6BWbIg4PzqDF50dFJwYg2AgAMUi3m/fqZtLoh5jwFAqYsxOe7lnbpaZTb9na99Wo9NL/yoVkX8nrxqZeAHdP0fL75H1Oi1qT0VeRF4MpOLGrsYAHg/uMkwmys7ETj3/hD6QeTzCTJLtFopNwG1c1+3WTYTxfJx8wZR6XR6vySkWU9QwYgNw773wpS+JzR3/8he9/gFhilIQSc00xSYQMFaj3W8KU5RciTJTRO01JWF3xybdFGVRbDRi091Np7tgUWzCUl1L5vpJS/KoLxzq641JKtEpzIx+o62enjYmwl6fmLj1/hUOiwks0wXxuHAe9hgTrjaBadt4VNc0G/XTJJWOWbNgqonwHCiqquCZZ+CnPyXyjncOV1lra/n7T+GRn0Nw6uz9+onTp5zO+uvX89Q1Txl14XbTL5/L6wG5l5o2HrrdXLRJwakq/F/3P4abourqdF/B9c4+ks5BC7GZL5OJb9i9djix8fuFM26uj3xaXMRMbE7ZqRJwB/hz/4vCFBWyLj4B3jHtHcyvnT/s8+hdP2baQIBXjm8k1VRjqL8y6SpAvGP78PJoik2m02RCDul1oSmxXX27rf6WWh956immbouzvQK6a4IWS0DUHSJQdtGa2C2ix1zGWB8xJYyMp0SlxUxO2I1J2DXQhbpj+zBi0zwoCVPnWwykhOe3WbHRiU1CqKmaQ76Gxkgj2/u361mrbWJzDME8iGz7lGnn3mCQ6qKbnj2bYHCQVF2lMbDKyQ2gPdfN7yo7jQEbIBplbp+Tzb2bqS1nyPgchlQeFh2tTg3SmWwjVzLJmhpmSOIwaxb4/WMvTE0NjlKZ214I8Z3XG3FUjGCu2ge0RGMwgmIzEhQFIhFmDYR4q+ctUh4IKF6D5N14o9gs8Pjjh58bEMn0WrJu2tJt9Mitcs2dF2ChaQ9NPbw9GEQBJilhodiUTJvWAdSKTjo/H2ZtxLRnDOjkkmKRhvpZ4qMG00RVXU19XEymOx1Jntn9jDGImpyl2+O79RBMbWD2O30EVbduisp6FeOeAgF9cN3Tu50BJ3gdBrEBmEyE3Yndev4JM7GpTyHUtPZ2qxLkduuyc1+mh+zQNuV2MykjVnblTNrY8HMogkH48pfhs58Vz8YEBw5dsTH7G2mKzZb4NrlHmGxzM2bAlCk0SdNOvMKLgmIQH43Y5BMM5jL0OvIWxSakbTPw6kvWxlLZCwAAIABJREFUFTIIYqOZFVI9Isw1aLT14OTp/GijeK4btAC8IYpNvJCgEO+h4DLlsfH7qZKTwfN54eDdqJltwAiLX7JkeN0dKE4+Gf71X0V/GoqWFiYnEU6qkcjw42PE/Nr5rJi8wvjA4+Hh+4y34ZLLaBeKQp0jwumDjTyb3EDOLfyy9AVLXR2NKVBUeLZSzPr6oiMQ0P1KWvt2WKMKQSg22bIgNhlr2DXBINH+HHOr57I920ZvAKoqLQnp946TTmLx4tWsm+YnPZi1mC91/7euHcOdoSWp7cx2ocaH+MaZTVH9rdb2KM2I/OAHTO2HLTVOegeTlgWzEgrTOOinNdVKwgcVpgWjy+UhNuCgNdnKngHho6CPwV4vx7dDvJTmhe51JKN+y9g4WRX3t2v3emuOG3Fhg9gkO0XSVLnHmoYTGk7gxdYX6cp04Xf5DcJrE5tjA/dccA/Pfeg54dyrIRgkWnTwp/hzPDHdQW+F1yAvsZjuSPjd+WmSjoKhMsjjtfECJbVEor+TrN9lyVMDYmXfk+62+u5oWLZM/P+3fxtfQbQNPR97DBYuHN+5Eo1hYxAZE7EBiEZZkgySLeVY02CkqAdEJ5k/fGWlY9o0praLWVnLAK2vsgAGBnj3eli1HS6uO8PwAZADSpMaZmvf1uHOw1Len/ebf+iX0geMpUYYbuNs4agXDZiIaUMDCYd1D9h51VJ5Mql1bfFdI0YY1ZZ8YuXX0yOjlwwicMYO8fLRnU/ovi6AyDrtcNBUDtGaatVTtOvtyuOhIVmmLdkGXV3kPA6LYqMNYvH+dn3gNa/MV+4WPg0bUltHJzZ7ga7YmM+VClS1O8rm9E5BbDQHbZcLtm0TxCYisnpHfVGjj7lcIros009PQChgen4jwBmJEihA6qWnSVWI+tMnqdpaogVBAO569DbKDiuxYcoUZuwQxHBjtcgVopMXqdgAdKXahSlKm6x9Pr0evxkTOY7Myff42Mfg3e+GG24YV90dMC6/XCwM3nxzYq/rdnPeFuNthTpExYtGWZSN8IbSQ2b2NPxuv7FgOfFEPCWYlIZnJJ/RiY10hlZU6Ey06RFGutOzz0dlRiWei5PPDFdsyGRoqWhhfbmDolPs7zYeLKlbwpa+LbSl2oz+EwrpxKarb/fIik1apG9I9XeR8znF9iyynmJ54S/WnewgLcPI/S4/RA2SMiU2lS5/CRWrWZVQiMYBD63ZThFtah5r3G4WxT280vkK26R/4vRKGerv9XL6DvFykxInGXRZiI3fHaC24GZn5yZrVmKwEJt4pkdmkrcSm/k18+lId7Clb4v1fm1ic2zgw8d/eLhTXjCo78Nx5lVlOnPdxoq/spJwAcJlN2vlXHnXO+8yzq2ooLJPtKq+P/6SjN9lTEJer0gCl4W+waQeUWUxRa1cCT09cLWRY2ZMWCCdFfN53Ql5vDArNkP9j0ZFdTWr9ojO8GyzKSJgLFiwgHkvibw9zzeLpmtRbDwe3Mct4u/F9/LHjz5hTEIBsWHlyflq1rSvIeEUz0qv56YmuOkm5pm2GJtdLWX8FSsE8fvYx2iQpjcLmaqv1538NIyo2PTvHr5S8nppHhSmNXp6yDrLFgl+iralTDYufGy08siy1pS89GR79D1ezIpNQ1IoNkUHwgfA5GOjm6ISnTpZ1omAx8OUXm0fsS4jhf044MBBSTNFmRQbgBmeejYPtAlTVMTkjK8oNC04mawHtnkyVlVTS4aX7adtSHI+cfMhYnnoyvWQni5UE72POJ1EAoLIfF9se0PQb2ozkQjNXULSebUOKt0mk2oopDudt7YJh1m9Tfn9+l5FGiztoq4OfvWr8ZmHJwKrV8OaNTB7/8xQo0Iusr635GZAZJ+1IBplwbY0OTf8pS5tHQ8iEbj3XpoT6MkV9WgrpxOXP0iNGqAj3SEzgpuUZ5MpaiAnWKZObMJhyOeZEm6m1Ske1FAfm31B8xPqzHQaY7bDQdAXIaC66E51DM/lJJ2lAXqTnWR9RvQRHg8OFaoJ0JXpYncU6j2VeqoFgqJdTjdFyFmCUkIhGrMuWot9whQVNJXH5WJu3MXm3s1s8w/gxmksLoNBw+UhBAlP2VA8QURcZT3sSu4ykveNpNhIYhMeooRPjQmV+pndz4hEkqZ7Amxic0wiGOSul42H/ULrC0YHCwbB5SJUFKuX62rP16OAAIjFiCVFxMDjUyETdFtNTXPmULdLaPhbThDs3HIchN19vFi0SKwmly+HK64Y//lgWTXrA9W+MHUqk9duYZaM9tKjgMaCq69m7uYEigrPzRSDjEX9Ali3TkTqmKEo0NjI1L4yg+VBPcGbRfm67TYWvLxHf6uvKF0ueOUV+J//0X1z/OaBd8YMfvwneO9rxkfzawxiU5sRK7a2ZCs5t3AA1pUIr5fpAwGRq6anh6wyaDFFaRE7mWxCmKLMyonHQ82gh3RB7N0CVmIzuxdKaoktlZAzEyaZx8aJg75U13DTjd9PNCXaYyIX3y9i41QMU5Q5NBdgpquWdaVWyg6MyDOJyR8QGW9fn19j+A6AyBeUhS2Fdu6XHNyijoTDLGuD52sLpCN+gu6gRVF1V1qjGUNmAhIM0rgzjqJCyYHY/01DLKY7xXb0Cp8uPezd52NGHyx2NvGZ5xVeLnxgPFV09KFRTKDveVrbLDJkPR6NsmCNyKj7ptrFOdPOsR6/4grdR82pOKkPmSbHcJiWwSBvZXYJYmPulz4fsTz0D/TrG47qBENuStziNpyCh+bl2RcW1y3WX+t+P7I8tSWfIMsxUVZzwIeW4qM3203WrIg6naAo1KoBurLdbK6EWaEW47oZQcAuqz1D/8hCAquraegr0kaSeNBJhd/aD6YkFeL5OH+cA1OcVYayVVlJqAChAWiPOkQuGpMvIIEAzWknO3MdDPhFGzYrNtG8GKc6sl0MuCDityrwMyuFH1xPtkekOTHdE2ATm2MSoRDH7yyy+05jRa2zf0WByko+9ZKT49vg6yfebD23ro6AtGRcdyFkq6PWjr10KXOeFTtWrF0mBheLYrO/UBT4zndEBtkTTtivS7gcLmK+GDFfzFjJ7gszZkBbm+4Lo6/ox4JVqwi6/EyLwzavGFmG+tigKCP7HkyeTO1GsUH8TtlnhzpeNkYa+fzJn+cbZ3/DamqU17twtsj+agkbXbGCZW3wi9/D3Kjwd9JJkd+Pqwy1BGmPi0Hb7zBJ+B4PSzIROjOdbKooUVTKFoXDoULA4SOT7R9OMDweaoqizjfIeVtXDEwOmW9WQ9ZRsvjYKEAFPuLdu4YTm1CICrl6S+T6yXud43tGGFFROZexcaBm+pw7WEFCEav9yiGray20eHeh25qiwO2mJB/pN08WxNLilB4Oc1wnbI1BPGKKOJQ4PjCdRR3Ge8vCIBjEXUb3g6sMmyaZOXMIBEVjSco93HQzlc+HfxDW7Xkn33xEZcncM8dUN0ctJLGpuu933P03L49d/Zj1uN9vUTyH5eypqGDyqSLfTmOk0ZpfJxxmeTrKmoHtIvzZPL5JxQZgj2uI079sUy2qoUyMV7Exq86WxVkkQm3BTVcxQW91AKfitKTo0BWbXHw4GXO7qSn76R6IsycCzeHhiz7/RZfpr80+Nsybx7StfRSUMptiJWtQhsvFkg4xLr1ZAx6/qZ1LP7f53fDsFCfJQso6NlZX09IzyC4SDMwRJMUcMOBUocIdZmdWRLlqKqcGczoCS9/TiE3Rao4/3LCJzUSgrg527KCpp6DvZKtPbgBTpvCFx3KsuQeiLUMkYjkxamhNt1sH3ltu0QeMF+vF4DrefDMHE3s+s4cNHxvH7hZSHZpqTsk+Vng88OqrzG80HDLD3jEqPtdcQ80OUZE7RiE2ALeffTufO/lzI17inOnnUP6PMnOq5xgfVlbCRz4CwFPvf5zXrnvNEvEG0KCGaO/ZYc0yCuD1clq/GLieahlyT9J0E3R4yeSSwhTlMREMj4dFWTFw3bcIKpwhkeNG3lOjtnVFjZccgxZTFEAMP31dO8l4FRyKw1i9hcOGs20hRd7j2A8fG4cRFaWVV05C8zJG+c2TCljbwlBTlOZUCnDrqlsNgiHveWo/lB2w0ZceRmyU+gbuedB4b1kYSCVpclo8s0rzit/hILBCZAvWQtD1utAcpl96Sfzfm2/YsQBJbGhv56O7aljYOMTBP5cjVDDejqTgTj5+FcCw50MkwtS0iwwFdlYYm7kCuj8LwEY5/+ukV7apKabGYQnpHgMUReHWVbeypG6JsccUQDQq8jmRprfCQ6W/0tKvdcWm2E/WVbaquG43tWUfXUXhE1YTNpRtfvc7eOQRmDePn1z8E1Y2r7SSwEsvZa6JIFr6gc/HO7YaGX7n1JlyH8l7O3M7vFRbJDeYs46NtbW0tGfJOctsmy/6nTm8HUSW5x0DYgUQHkJs3E63PqfpW/OA0Q+yWY4k2MRmItBiSI1zA+LhT60wRc4sNuTOYWajlhYiA/DbX4u3xXLROvBOmULNK5upUv08nXlDXGKcq5KDiYA7YLW57gtLl8JnP0vzRSLV+7jLMnMmC44/T387ZqXooot0h8ARTVFjxIj5SO6+G3I5qqubjZw94ssij1EpQHuilZzXYSTjAmHOiIvrrZFzvL5CkwNGUPGQGZC7GvusK7QTEyFicvuEKrPpprmZmgw4ytDeXEluMGcxRQFUqj7eKrTricn0coXDuu9If3E/iQ0OSg5pivKafreignl9pr2ShrQbs2lzqCnq1ifg4p1+/mNbM9efcL31B+vqdPL/XPat4RNnfT0ntBpvhyo2AM1BMXE3hKxky3/y6QB6CLpeF16xLQYvvyye80T7tBxpMI9be/YMPz5pkuWthfxLnDxZ+Bt9aMmHrAfCYRoSItT+9UlDFAxTVurXpZimt4160X5arrxO/7plQTlG/Ptp/87LH33ZGgARidCYUlgXzbEhWrCauMyKTSFBzlG2jiXBILUFNztKPWQ9UB0xLd4uu0zkKAKuXnw1//zAP4cFg0w701CELXXh96Pk8nx9cBUNSfjBJT8aVhZNqYUhC4faWppl9NlrjYLI6OWVxCbmCrGzKHwEdMd+E+48706uXHAlq6asMj7UIr3S6WHfP5ywic1EoNnoTD9ceAsfXvphzp5+tnH8MkN2HGYmCYr8BtpeOTB8wlVmzGBuy/EivT7jtyMfcbjjDs55z7+zasqq4YPcGHDxnIvH/5vRKJULhMmtVSq04zWxjApJYEaE30990UtbKU62Nobf/Gyrqgh091Ovhlgn53h9sJGKTQAPmUKGAZeC12yKikQglaJRhnFa8nc0N+NUoT4NOyZ5yRZNSQMdDnA6WVCuYp0vzvZaj5UIhMM4VQi7giRKYmPO/YmKyrtAVcDvs64ap27p0d9afBqwtvsmc+i0201TEv74vzn+s3zacELa3GwhLsNUvIYGzL3OItGXhKN0lXMEpRUIzBarYi0bsjnEmZicYKdNGxbyfszBPG598YvDj995J9xyC5fPEWOdxQdK4qSmk2j/bDufPunT1gPhMPVx4aOR9gxRXUw5cF6X3EnvIzLvVUUe7v1HlGeuenLi+nQ0yrvWC3XkGV+X9Z5M5rFOJUvGMWhtcxUV1GRgEHF+TdUY/Q8l6u/9pf7a4n/j90OxyBe6ZtL6s2qqgkPUqYce4sRT/kV/a1GCTj5ZD6t/1SfkcnM6BQCHCm1lmRMrYvVLA2GK/+Xlv7SWVaYksYnNsQiTYjOreSn3XHiPVUJcJRnu6tUMg6LAwIAefQFYHeskzAPFkaTY7C9mVc3i71f/Xd9zaTw4sfFE/C6/sePxGBF77BlApAb3OD2G6eZgorKShoyDLneRVMhjnZRraqCri4beAhtrRVfUB205UYbxkMj3k/e7DJs4CGKTTNJYEJ9NrpxiHJMJ4U7aAw/Guq3XBaio4Ly0aGNbIoNWBUOuwKJ4SfS1kXc78DnHb4rSoq10xUaW1/XwI/rbkQi61rYtE6PbZHYy9TXzceeixfzHoNjTZhjxqbA6QlrMn3JAXtUgzl04yZr6wF8pJhZNsfGakxVK51VmzRp+T8cyPvjB4Z/V1cFXv8rPL7uPrTdsHZVg1IXqrP5rIDap7TWirCwkorGR+rSYdDfWCAdXfWJVFPjmNwG49l23cfK00w+oWEPv6eRXelHkptUtUVO78/lwlSFa9rBJNmFLZFNFBZMTxm7X1YHhJGFvcJnMrJbrannK2tsNUm3GO9/JjO//Sn9r6UPLljH9oWcBeLFjLQqKQfAlOTnZO1P/ejg6xnu2FZtjGM0jZBw1w+OB3buFfXUUTDK1Cz3U2ARzI7VMcG9TxL8Q5w/v/sO+v2iC22lEnB0yP6WaGur7CpQdsNOXH05s2tqo7y2QcovV3VDFZpZayUZnnAGvy6qcSGJzwQ4xCF4xzxTZ5nDAd77D8bH5JEuCMU+pmGIcj8Wo7RMTyXZP1qrYSL+FitY+Es5B8hTHrdg4TROX33xtmT36K/908fGl1w09DYDH/vUxPrX8U5wz3RRVI1UVQEygI2HdOqZefi0gdzg2I2rNim1ZBX/yk3DHHfzLJ++m7/N9nD/TmvXaXy0I4DAfGzAml9rx5U456lE9uh+L3+0fcbPPvSIcpn7jCBGJAPX1uBwu6qUPVLU3ZiVGn/iE2LPs2mvH95v7QkUFgSJ85jnx1kL+pTpbPeDUHfctJqNYjCu3GsTOcmyM0IjUsoZlw36XXbsMUj0EiqJwx9l38MHFHxxm6o0sXcHkyGSK5SJhb9ioRxnKf5P/HcZ3hwZljAaN2KRSe//eIYZNbCYCZvtzKDTyd5qaRper16zRQ3sBZlcNJzYj2azfzvC6vOPeuRgMZzyLs9/BRE0NDWtFVNsWJW5dyTYIG7jZDKkTG+n7seAva2nzF+nyDlrVgkgEWlv52P1b2NTxLq5ccKX1d2+4gVk3/Kf+1kJsKiupfVgkI8wqRSuxkdsbRAeg3wf5oYRqDHCYhhVLeeXA/MVFN3DnhXcNPQ0Q4bffXv1tq9y9e7fxumL0RJCaX1t/vt964Oyz4eabaQmJRYfF8TgUEtmTXS5i/tgwHypnTLSXP0tRxlIXWi6o0cyQxxr+8Ad45zv1tjlhcLkImxyPLc6pXi+ceSZNUgGpi1h9oPB44PrrrareREC6D3z9Mfj3FV/gxhU3Gsdk+Re2lXhDctqhio23zXB2Gbp58ljwxNVP8Of3/nmYjw0Ar766V5Xwsyd/lh9dPNz/BowcW+YtSTRiMyljtP1xExtbsTkGoSjw3HPw97/v3/nHHy/2e5IYGi0CsLxpOQBXLbxq/37DBmBEVIw5mupAUVWlJ86CIUqRjKRZbApF1hJh4fGAz6cn6csoRSsZi0SguxuHCjNXjuxz9I5pxgpsXs0844DHw5S4ikeSaYuzuiTf0TwkvJBXBvcrKkqD5dwbbhCJJG8Z575ky0yr1ujwPck0tFSIVW5uMGc94HLB177GmuvXsf769eP77SETpqU8Z50l/re18bbAJZfAQw+NnE7hQNDTY3lrzi0DwPTpup9N3XgCFQ4EJ4kkrK4y3HrO160Ly1gMFizgrDcNNmaJAps1C3btYqVIfTTuSC0Q48BQ9dCyZc68eewPjqsVwQ1DHaUBSCSY2y+jJn0jmLpGgnZuPL5f93OwYBObicJJJxm+NPuJP7z7D3z9rK+PGHlT6a+k63Nd3H3B3Qf0G293aB12WGK/g4VLLtFzpMAQpUhO2GfLbcfm1cyz+v3Mm6dHMgDWTKJm8+coppCoL8q3zvkWH1j8AatyMn06vkE4Qc7Hw6KIOjtpVCJsneRmsHxgxMZS3hUr4Cc/GVVGHxVnmnLE7EWxaY4285GlH+E37/rNiMerA9Ujboa4L9w+5cP6a0tdaFuR7GfmbhsSt98O113HZ+Z9iOmx6cO3ZymVdFVzf6Ke9huvvgq//e3Ixy66iNN3Gm8tiugKscfWn34FD8z6kjUn04HATGxG8jUbAy6afREwhIi53eLa3d2s+f4gm8ufGHuuNJdLmCY7O/f93UOIQ+A9aWOsuGTOJXs9vj+2WhtWaKaoQ6bYXHwx9W/uIfSTOaQLaatiU1EBDz7ItLo6/hztGr5S/fCHaf68EdpsGfCvuAJuukm8XrSI0WCR0DXcfjv89Kecskvs3TPMLFdby6Ib/ot7//IJYH+iokZRbA4E0SgkEntVbByKgx9c+IOJ+T0Tzlv9Sb5w973AkPLMng2vvXbsh3ofbDQ3w1138U3gmyMdv/lmpt27HXiUWVWH0FF74cLR99E78UTmfN14a1mQSLWnMgcXzr+MCYPZlaFxHJt9mrCyeSWPvO+R4a4NNTXw7LMECiozZp008smjoa7OJjY2bBxOHHLFBnDVN7K8cTmPb398uNPyBSIb6/kjnMdHP0rdxwxiY8lCOn26xXw5LsicI1OpAPpHVAjNjocHpNhMVPjtY4+JrTLmzt33dycY5sl0WF3Yas3BR0sL13/lYTwv/4j3HPeew303AiecgKsMvwpezaz3fcp6LBaDX/4SfvhD3WdtQmB2nJ8xY/Tv7QPnzjh3+IdTpsBTT4nX443yq6uDjo59f+8QwiY2Nt5W0OzdE7ItxTgwLTaNx7c/Pj6nZUXBcf8v4S0xmFtMUQeK/n7cr/8MHr8BdQSCZCZRBxIVNWGKzbJlVl+bQwhzFKKtmh4euBwuPrrso4f7Ngw0NEA+z7u9o0SoXnml+JtImCNuG4b7YR4Qpk41iE3zOM19t9wC5fK+v3cIYfvY2HhbQXPO1XbEPlQYySF8TLjyShSZXm5/nBBHRTTKJUvfy9L6pdx86s3DD5tI1HgJlUMxotUOWfTZQcaKphUE3IGxR4vYOPYxGqk5WNCib88dQXE5UEyZYrwerw/cGWdY/eCOANiKjY23FbSQ4NNbJjCZ1xig5U7pznbv45vDcd2y67hrzV2saFoxofdUFahi7UfWjnjMrNiMOUJC4qCYog4znrzmScrqkbUqtfE2g6KI7SyGbsszETATm4kOnT8MsImNjbcVzpl+Dk9d8xQrm1ce0t/ViE1Xpmsf3xyO76z+Dl8782uHlCSYVRpLFu0x4KA4Dx9mjHlPMhs2Dib202l4n5hIX6AjADaxsfG2gqIo+7WNw4HilMkiZf/Vi64e97lup3viQkbHCLNKM25i4xgl3NuGDRtHJrRkk3uJOjyaYBMbGzYOAerD9ahf2s8opsMAc3ZeyxYEY4DT5GNzrCg2Nmwc04hGRc6e5csP951MCGxiY8OGjb1ivBFk0ZJLD0s4VnxsbNg45nH55Yf7DiYMNrGxYcPGiNj16V375TDbEB8EKfIM28nZhg0bNg4ybGJjw4aNEWFJuz4ONHZkdWJjw4YNG4ca9nLKhg0bE4rG1kObI8iGDRs2zLCJjQ0bNiYUNZX7p/TYsGHDxkTAJjY2bNiYUDh+ft/hvgUbNmy8jWH72NiwYWNiUVXFLy77xf5vI2HDhg0bB4AjQrFRFOVdiqJsUBSlrCjKsiHH/j9FUbYoivKWoigHYZMMGzZsTDTee9x7OWPKGYf7NmzYsPE2xJGi2KwHLgN+YP5QUZR5wJXAfKABeExRlFmqqpYO/S3asGHDhg0bNo50HBGKjaqqG1VVfWuEQxcDv1JVdUBV1e3AFuDEQ3t3NmzYsGHDho2jBUcEsdkLGoHdpvd75GfDoCjKRxRFWaMoypru7vHvoGzDhg0bNmzYOPpxyExRiqI8BtSNcOgWVVX/NNppI3w24oY7qqreA9wDsGzZsqNnUx4bNmzYsGHDxoThkBEbVVXfsR+n7QHMSTGagLaJuSMbNmzYsGHDxrGGI90U9QBwpaIoXkVRpgIzgRcP8z3ZsGHDhg0bNo5QKKp6+K02iqJcCnwPqAH6gVdUVT1XHrsF+CAwCHxaVdW/jOF63UAG6DkIt1t9kK57uGCX58jGsVYe2P8y2XVx5MMuz5GNg1Weg1lPLaqq1oznhCOC2BwMKIqyRlXVZfv+5pFx3cMFuzxHNo618sD+l8muiyMfdnmObLxd5sUj3RRlw4YNGzZs2LAxZtjExoYNGzZs2LBxzOBYJjb3HGXXPVywy3Nk41grD+x/mey6OPJhl+fIxttiXjxmfWxs2LBhw4YNG28/HMuKjQ0bNmzYsGHjbQab2NiwYcOGDRs2jh2oqnpI/hAZhJ8ANgIbgE/JzyuBR4HN8n9Mfj4HeA4YAD43wvWcwDrgsb1cdz1QALLA9abrxoEy0AHcDTjHel35nX8HcvLe1gGRIff2ALB+L3WxGngLsannTabPPwHsQGwbsWmC6+mhvdzP1fK6m4GrRzi+v+U5C3gdSMlnsPkoKc+Pga6h3wG+LNtMCsgDO4/08jBKv5PHviGfWVqWaeM4y3Pr0GvL8rwGdO/l3KLp+NUj1EXHXspzo2xLBURmcu1+n0T0nQyib/6VIf1Sfu942Sa3AN/FMMe/C9GGVWA7h7nvyfK8Bbwi/2pHOX+08iwGnpflSB5lZfoaYo/A9JDPrwF6Mfpf65FeHiAA/Bl4U9b/103HPoMY59OIdrtpAsuzP/NiAjEvtg4tj+m6D++jPFl5bxuBJvm5B+GDs0med/k42/K75G+VgWWjPSfLtcbypYn4A+qBpfJ1WBZyHvD/kJMhcBNwu3xdC5yAaOQjPcDPAPfLhz7Sdb+L6ASVwH8iEv/F5HXP0K4L/A64chzXrUR0qgvk9bqBb5jOv0yeP9rA7AS2AtPkA38VmCePLZFlbkMkPJrIehqx48rybJP/Y/J1bILKswk4FVgKfAy470gvj/zOafKeRyI2/zlKuzgiy8Mo/U6+PwexTclS4Hbgv8dZnpHq4nbgDWDjKOeehVhYfHFoeWRdPIUYWIeVR9bBTkT/jSEm6y3yfp9EDH6ny+9+ELh1hGu8CKxA7EP3F+A8+flcYCWwBlh2uJ+tLM8+B/G9lOdvwHny+X/paGLnAAAIfUlEQVRSXu9oKdNJ8r5HIjY/HqHNHbHlQRCbVfK1B/in6RmtQoybS4HrEXPR4ZwX1wI/2sd1Hx6pPPJ6acQ4H0PMYb+W3/tP4KvytQOoHmdbngvMHmv7UVX10JmiVFVtV1X1ZflaWx02AhcDP5Vf+ylwifxOl6qqLyFWdxYoitIEvBP4ITAwynWvAB5WVbUPocoArJbXfVJe14F4OOo4rnuuPO/PqqrGESvD98jzQ4gG8NW9VMWJwBZVVbepqloAfiXrAFVV18kyFw5CPY2Gc4FHVVXtk+V5FKHAHHB5EPVakPUYBXYdBeVBVdWngL5RDqcOUjs+KOXZS79DVdW/qaq6Rx5/HjG4jac8Q+tiO4IshRFqyrBz5W9sBXLm8si6uAgxKG7eS108oqrqk/LcvyEG5kZ5vAVBjJDXvdx8sqIo9QgV5zlVjJg/M93bRlVVn0YMzof92Y4FeysPou9FVFVtR2SEbTsayiTv4Xl53yMhe6T0vzGWJauq6hPydQF4GbGYQFXVJ+S4qfW/ugksz7jnRYQSVtrHdcujlOdcxLz1gKynB4EL5SU+CNwmzymrqjosQ/EY+uZbo1byCDgsPjaKokxBqBMvAJO0Riz/147hEt8GPo+Qpka7bgwhE2rX9WIMgADvR6zAU8Bvx3HdRoRUfpE8XIVQV0BI899EyHGjoREhs2rYM+S+RvvdCauncdzPgZbnWuBhRVH2AFchGP+RXp594ROKorymKMqPFUVZyFFUniHtaSg+CLzEfpZHXvtUhDkqhpCjRzq3EWEaGVqebyOUml8zwuBqOtdcF2lguqk8CrBVUZQvIuTrydbTacQgXObfHq08h/PZAvyvoiivKIryRUVRlFHOH608nwa+oSjKbuAO4P87Ssq0L1wu+99vFUVZwVFUHkVRKhCT/eMjHP4QwsR0uOfFi4Ebh5RntOuay6PVk7aYCAN+uccjwK2KorysKMpvFEWZNMK9j7lvjgWHnNjIVebvEPs+Jff1/RHOvwDoUlV17X5cVzW9vg/4CuLBnjmO6yrA74GPK4qyFqH4lBRFWQzMUFX1D/sqwj7uS0NwDOUZ/UdGKc9Y72eCynMjcL6qqk3ALxBS4pFenr3hLsREuhixCv47R0l59tY/5H5sKoJ8jrs88tqPAf+Qatdevz7CZ3MQZCYCPD2Wc+VvXgn8Sd7v+xA2+u3AvyHMSoUx/PZIfc/PYex78v/7VFU9DkEWT0U8m/Gcfz1wo6qqkxH98CccHWXaGx4EpqiquhBhAvkrR0l5FEVxAb8Evquq6rYhx96PUL7P5PDOi+9DjHHf18qzl+sOLY8CPAKcrijKOmAqwmcHhKLzjKqqSxHk7Y6RirCX+xo3DimxURTFjajkX6iq+nv5caeUoTQ5qmsflzkFuEhRlB0Is8eZiqL8AjGw1gH/oSjKRQg7/mzTdQcQdj8zBhGOlxcj5MVrFUUpAH/ay3X3AH5VVc9RVfV4hI9NO8I2eLy8r6eBWYqiPKkoymTJ6F9RFOU6eb55Jdk0wn0B/O9BqKf7FEVZbrofrTwj3c8BlUdRlBpgkaqqL8jnfg4weBSUZ1SoqtqpqmoJ4Ve0HCgeDeUZpd8hj12NWHX52Y/2Zrr2DuA4eT8+U3nOR6zczOWJDClPDaJ9nIdY/a0C5iqKslZRlA2KouQURdmG6M+TTb+5EzG5oapqq6qqb6qqehZwA0LF2mqqi6/I324aoS4tRUL4NxzOvoeqqq3yfwqhdJ6oKIpzHOW5GrEAA/gDYqI6Gso0KlRV7VVVdUA+//MB91FUnnuAzaqqftt8E4qivAO4BeE8fN/hnBe18sjP7keQrZUY8+JDWj0h2tQy4BpTPVWoqnqZqqpLEH52JcS4kJXfB/gNsHScbXn8UMfgiDMRf4gB42fAt4d8/g2sTlL/b8jxLzOCM5M8doas7JGu+z2En0QMw0mqEgghHNO+jJDXfg18YhzX1RwYY/J1CvjkkO9MYXRnThfCAW0qhrPt/CH1lAbunuh6GuVYJWKVG8NwyKw80PLIz3uAWbIeHwV+d6SXZ2/fke1Ga8f/AH51pJeHUfqdPLYaMQD9eujxsZZnpGsjBtaNI50ry2N2HraUR9bF4yOVx1QXv0KsLLfLz1wIc3At4EaYlp8HPjjCNV5COKdqDornD6mrDuD+w9n3tPLI72jluW6Ua4xYHoRPxRny878BnUdLmUzXGuo8bO5/DwLPHw3lQfjA/Q5wDPl8CcLf7A8c/nlR60NfRsyLw8pjuu6w8mDMi5qTdb92z0iiJV9fA/xmPG3ZdPxJjsCoqJUIaek1jPC48xE+Ko8jHAYfRw5yCJa5B2GP75evh4ZVnwE8s5frvoER1vYJec4C+VlJ/qUxRZns67ry+P3yGgVE6Jsy5Pwp7D3q5nyEl/pW4BbT5zcgmLmKcA7rncB62ls44wcR0SVbgA+McHx/y3Op/EyV9fzGUVKeXyJUuOL/394dpCYMRGEc/3a9RaV36LJnKPQMepDupN0J9QQ9heDGAwgilS5q6bpLdSEBURfvC47BlAYsleH/AxEyZibPySSPOIluv+3lr0k8C8Vtkxcdj2rGncvmkr5dvlYkok3iWXndNx2PvXvXVbfuWjH2NvLtppXv4mRi4/Ku2ywUk9En3s/Gijk6hSJxelJlXHr9W2/vp6SX8jOuIx17y//qW8XP0GP32UxST8kjKX4Zz53rmDumD533uPuXMT273a3fH5O+/9LhePJ+6fEorjzskm2dSOq4bKhIMsrxtzhjPE3Pizc6Pi+uFFdgqvUOf4inr8N5cSTpystbikn9U8dy3XBffnCcheJ4Najrq/LFXyoAAIBs8ORhAACQDRIbAACQDRIbAACQDRIbAACQDRIbAACQDRIbAACQDRIbAACQjT1LLwTuOcV5SgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 3))\n",
    "ax.plot(df.index, temperature, label=\"original\", alpha=0.5)\n",
    "ax.plot(df.index, temperature_filtered_iir, color=\"red\", label=\"IIR filter\")\n",
    "ax.plot(df.index, temperature_filtered_filtfilt, color=\"green\", label=\"filtfilt filtered\")\n",
    "ax.set_ylabel(\"temperature\", fontsize=14)\n",
    "ax.legend(loc=0)\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"ch17-temperature-signal-iir.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# f, h = signal.freqz(b, a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8, 3))\n",
    "h_ampl = 20 * np.log10(abs(h))\n",
    "h_phase = np.unwrap(np.angle(h))\n",
    "ax.plot(f/max(f)/100, h_ampl, 'b')\n",
    "ax.set_ylabel('frequency response (dB)', color=\"b\")\n",
    "ax.set_xlabel(r'normalized frequency')\n",
    "ax = ax.twinx()\n",
    "ax.plot(f/max(f)/100, h_phase, 'r')\n",
    "ax.set_ylabel('phase response', color=\"r\")\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Filtering Audio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "b = np.zeros(5000)\n",
    "b[0] = b[-1] = 1\n",
    "b /= b.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data_filt = signal.lfilter(b, 1, data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "io.wavfile.write(\"guitar-echo.wav\",\n",
    "                 sample_rate,\n",
    "                 np.vstack([data_filt, data_filt]).T.astype(np.int16))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# based on: http://nbviewer.ipython.org/gist/Carreau/5507501/the%20sound%20of%20hydrogen.ipynb\n",
    "from IPython.core.display import display\n",
    "from IPython.core.display import HTML\n",
    "def wav_player(filepath):\n",
    "    src = \"\"\"\n",
    "    <audio controls=\"controls\" style=\"width:600px\" >\n",
    "      <source src=\"files/%s\" type=\"audio/wav\" />\n",
    "    </audio>\n",
    "    \"\"\"%(filepath)\n",
    "    display(HTML(src))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <audio controls=\"controls\" style=\"width:600px\" >\n",
       "      <source src=\"files/guitar.wav\" type=\"audio/wav\" />\n",
       "    </audio>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wav_player(\"guitar.wav\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <audio controls=\"controls\" style=\"width:600px\" >\n",
       "      <source src=\"files/guitar-echo.wav\" type=\"audio/wav\" />\n",
       "    </audio>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wav_player(\"guitar-echo.wav\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%reload_ext version_information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>IPython</td><td>7.5.0</td></tr><tr><td>OS</td><td>Darwin 18.2.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.16.3</td></tr><tr><td>matplotlib</td><td>3.0.3</td></tr><tr><td>scipy</td><td>1.2.1</td></tr><tr><td colspan='2'>Mon May 06 15:57:57 2019 JST</td></tr></table>"
      ],
      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE\\_401/final)] \\\\ \\hline\n",
       "IPython & 7.5.0 \\\\ \\hline\n",
       "OS & Darwin 18.2.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.16.3 \\\\ \\hline\n",
       "matplotlib & 3.0.3 \\\\ \\hline\n",
       "scipy & 1.2.1 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Mon May 06 15:57:57 2019 JST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]\n",
       "IPython 7.5.0\n",
       "OS Darwin 18.2.0 x86_64 i386 64bit\n",
       "numpy 1.16.3\n",
       "matplotlib 3.0.3\n",
       "scipy 1.2.1\n",
       "Mon May 06 15:57:57 2019 JST"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%version_information numpy, matplotlib, scipy"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py3.6",
   "language": "python",
   "name": "py3.6"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
